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Finding the Fourth Proportional to 641.73, 884.91 and 501.60

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Solution

The fourth proportional to 641.73, 884.91 and 501.60 is: 691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.73 : 884.91 = 501.60 : x
  2. Step 2: Convert to fraction form
    641.73/884.91 = 501.60/x
  3. Step 3: Cross multiply
    641.73x = 884.91 × 501.60
  4. Step 4: Simplify right side
    641.73x = 443,870.86
  5. Step 5: Solve for x
    x = 443,870.86/641.73
  6. Step 6: Final answer
    x = 691.68

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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.