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Finding the Fourth Proportional to 675.73, 932.61 and 634.04

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Solution

The fourth proportional to 675.73, 932.61 and 634.04 is: 875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.73 : 932.61 = 634.04 : x
  2. Step 2: Convert to fraction form
    675.73/932.61 = 634.04/x
  3. Step 3: Cross multiply
    675.73x = 932.61 × 634.04
  4. Step 4: Simplify right side
    675.73x = 591,304.21
  5. Step 5: Solve for x
    x = 591,304.21/675.73
  6. Step 6: Final answer
    x = 875.06

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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.