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Finding the Fourth Proportional to 502.48, 693.07 and 461.17

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Solution

The fourth proportional to 502.48, 693.07 and 461.17 is: 636.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.48 : 693.07 = 461.17 : x
  2. Step 2: Convert to fraction form
    502.48/693.07 = 461.17/x
  3. Step 3: Cross multiply
    502.48x = 693.07 × 461.17
  4. Step 4: Simplify right side
    502.48x = 319,621.94
  5. Step 5: Solve for x
    x = 319,621.94/502.48
  6. Step 6: Final answer
    x = 636.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.