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Finding the Fourth Proportional to 502.47, 688.91 and 501.66

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Solution

The fourth proportional to 502.47, 688.91 and 501.66 is: 687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.47 : 688.91 = 501.66 : x
  2. Step 2: Convert to fraction form
    502.47/688.91 = 501.66/x
  3. Step 3: Cross multiply
    502.47x = 688.91 × 501.66
  4. Step 4: Simplify right side
    502.47x = 345,596.08
  5. Step 5: Solve for x
    x = 345,596.08/502.47
  6. Step 6: Final answer
    x = 687.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.