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Finding the Fourth Proportional to 1,408.83, 1,944.11 and 810.90

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Solution

The fourth proportional to 1,408.83, 1,944.11 and 810.90 is: 1,119.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.83 : 1,944.11 = 810.90 : x
  2. Step 2: Convert to fraction form
    1,408.83/1,944.11 = 810.90/x
  3. Step 3: Cross multiply
    1,408.83x = 1,944.11 × 810.90
  4. Step 4: Simplify right side
    1,408.83x = 1,576,479.23
  5. Step 5: Solve for x
    x = 1,576,479.23/1,408.83
  6. Step 6: Final answer
    x = 1,119.00

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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.