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Finding the Fourth Proportional to 641.27, 884.80 and 501.14

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Solution

The fourth proportional to 641.27, 884.80 and 501.14 is: 691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.27 : 884.80 = 501.14 : x
  2. Step 2: Convert to fraction form
    641.27/884.80 = 501.14/x
  3. Step 3: Cross multiply
    641.27x = 884.80 × 501.14
  4. Step 4: Simplify right side
    641.27x = 443,403.71
  5. Step 5: Solve for x
    x = 443,403.71/641.27
  6. Step 6: Final answer
    x = 691.45

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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.