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Finding the Fourth Proportional to 502.60, 757.67 and 469.15

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Solution

The fourth proportional to 502.60, 757.67 and 469.15 is: 707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.60 : 757.67 = 469.15 : x
  2. Step 2: Convert to fraction form
    502.60/757.67 = 469.15/x
  3. Step 3: Cross multiply
    502.60x = 757.67 × 469.15
  4. Step 4: Simplify right side
    502.60x = 355,458.53
  5. Step 5: Solve for x
    x = 355,458.53/502.60
  6. Step 6: Final answer
    x = 707.24

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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.