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Finding the Fourth Proportional to 502.53, 754.27 and 388.21

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Solution

The fourth proportional to 502.53, 754.27 and 388.21 is: 582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.53 : 754.27 = 388.21 : x
  2. Step 2: Convert to fraction form
    502.53/754.27 = 388.21/x
  3. Step 3: Cross multiply
    502.53x = 754.27 × 388.21
  4. Step 4: Simplify right side
    502.53x = 292,815.16
  5. Step 5: Solve for x
    x = 292,815.16/502.53
  6. Step 6: Final answer
    x = 582.68

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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.