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Finding the Fourth Proportional to 869.97, 1,200.52 and 476.92

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Solution

The fourth proportional to 869.97, 1,200.52 and 476.92 is: 658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.97 : 1,200.52 = 476.92 : x
  2. Step 2: Convert to fraction form
    869.97/1,200.52 = 476.92/x
  3. Step 3: Cross multiply
    869.97x = 1,200.52 × 476.92
  4. Step 4: Simplify right side
    869.97x = 572,552.00
  5. Step 5: Solve for x
    x = 572,552.00/869.97
  6. Step 6: Final answer
    x = 658.13

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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.