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Finding the Fourth Proportional to 642.47, 887.49 and 496.97

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Solution

The fourth proportional to 642.47, 887.49 and 496.97 is: 686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.47 : 887.49 = 496.97 : x
  2. Step 2: Convert to fraction form
    642.47/887.49 = 496.97/x
  3. Step 3: Cross multiply
    642.47x = 887.49 × 496.97
  4. Step 4: Simplify right side
    642.47x = 441,054.80
  5. Step 5: Solve for x
    x = 441,054.80/642.47
  6. Step 6: Final answer
    x = 686.50

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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.