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Finding the Fourth Proportional to 1,408.21, 1,943.22 and 778.75

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Solution

The fourth proportional to 1,408.21, 1,943.22 and 778.75 is: 1,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.21 : 1,943.22 = 778.75 : x
  2. Step 2: Convert to fraction form
    1,408.21/1,943.22 = 778.75/x
  3. Step 3: Cross multiply
    1,408.21x = 1,943.22 × 778.75
  4. Step 4: Simplify right side
    1,408.21x = 1,513,282.58
  5. Step 5: Solve for x
    x = 1,513,282.58/1,408.21
  6. Step 6: Final answer
    x = 1,074.61

Related Problems

Find fourth proportional to 704.11, 971.61 and 389.38
Half scale
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Double scale
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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.