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Finding the Fourth Proportional to 861.52, 1,290.52 and 688.48

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Solution

The fourth proportional to 861.52, 1,290.52 and 688.48 is: 1,031.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.52 : 1,290.52 = 688.48 : x
  2. Step 2: Convert to fraction form
    861.52/1,290.52 = 688.48/x
  3. Step 3: Cross multiply
    861.52x = 1,290.52 × 688.48
  4. Step 4: Simplify right side
    861.52x = 888,497.21
  5. Step 5: Solve for x
    x = 888,497.21/861.52
  6. Step 6: Final answer
    x = 1,031.31

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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.