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Finding the Fourth Proportional to 641.88, 961.56 and 596.88

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Solution

The fourth proportional to 641.88, 961.56 and 596.88 is: 894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.88 : 961.56 = 596.88 : x
  2. Step 2: Convert to fraction form
    641.88/961.56 = 596.88/x
  3. Step 3: Cross multiply
    641.88x = 961.56 × 596.88
  4. Step 4: Simplify right side
    641.88x = 573,935.93
  5. Step 5: Solve for x
    x = 573,935.93/641.88
  6. Step 6: Final answer
    x = 894.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.