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Finding the Fourth Proportional to 1,408.14, 1,943.55 and 818.76

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Solution

The fourth proportional to 1,408.14, 1,943.55 and 818.76 is: 1,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.14 : 1,943.55 = 818.76 : x
  2. Step 2: Convert to fraction form
    1,408.14/1,943.55 = 818.76/x
  3. Step 3: Cross multiply
    1,408.14x = 1,943.55 × 818.76
  4. Step 4: Simplify right side
    1,408.14x = 1,591,301.00
  5. Step 5: Solve for x
    x = 1,591,301.00/1,408.14
  6. Step 6: Final answer
    x = 1,130.07

Related Problems

Find fourth proportional to 704.07, 971.78 and 409.38
Half scale
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Double scale
Find fourth proportional to 1,409.14, 1,944.93 and 819.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.