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Finding the Fourth Proportional to 502.89, 757.69 and 454.20

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Solution

The fourth proportional to 502.89, 757.69 and 454.20 is: 684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.89 : 757.69 = 454.20 : x
  2. Step 2: Convert to fraction form
    502.89/757.69 = 454.20/x
  3. Step 3: Cross multiply
    502.89x = 757.69 × 454.20
  4. Step 4: Simplify right side
    502.89x = 344,142.80
  5. Step 5: Solve for x
    x = 344,142.80/502.89
  6. Step 6: Final answer
    x = 684.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.