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Finding the Fourth Proportional to 502.10, 754.31 and 442.52

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Solution

The fourth proportional to 502.10, 754.31 and 442.52 is: 664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.10 : 754.31 = 442.52 : x
  2. Step 2: Convert to fraction form
    502.10/754.31 = 442.52/x
  3. Step 3: Cross multiply
    502.10x = 754.31 × 442.52
  4. Step 4: Simplify right side
    502.10x = 333,794.60
  5. Step 5: Solve for x
    x = 333,794.60/502.10
  6. Step 6: Final answer
    x = 664.80

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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.