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Finding the Fourth Proportional to 502.24, 752.90 and 381.04

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Solution

The fourth proportional to 502.24, 752.90 and 381.04 is: 571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.24 : 752.90 = 381.04 : x
  2. Step 2: Convert to fraction form
    502.24/752.90 = 381.04/x
  3. Step 3: Cross multiply
    502.24x = 752.90 × 381.04
  4. Step 4: Simplify right side
    502.24x = 286,885.02
  5. Step 5: Solve for x
    x = 286,885.02/502.24
  6. Step 6: Final answer
    x = 571.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.