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Finding the Fourth Proportional to 641.58, 961.67 and 458.42

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Solution

The fourth proportional to 641.58, 961.67 and 458.42 is: 687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.58 : 961.67 = 458.42 : x
  2. Step 2: Convert to fraction form
    641.58/961.67 = 458.42/x
  3. Step 3: Cross multiply
    641.58x = 961.67 × 458.42
  4. Step 4: Simplify right side
    641.58x = 440,845.10
  5. Step 5: Solve for x
    x = 440,845.10/641.58
  6. Step 6: Final answer
    x = 687.13

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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.