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Finding the Fourth Proportional to 641.40, 884.58 and 501.30

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Solution

The fourth proportional to 641.40, 884.58 and 501.30 is: 691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.40 : 884.58 = 501.30 : x
  2. Step 2: Convert to fraction form
    641.40/884.58 = 501.30/x
  3. Step 3: Cross multiply
    641.40x = 884.58 × 501.30
  4. Step 4: Simplify right side
    641.40x = 443,439.95
  5. Step 5: Solve for x
    x = 443,439.95/641.40
  6. Step 6: Final answer
    x = 691.36

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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.