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Finding the Fourth Proportional to 688.15, 1,031.87 and 225.88

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Solution

The fourth proportional to 688.15, 1,031.87 and 225.88 is: 338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.15 : 1,031.87 = 225.88 : x
  2. Step 2: Convert to fraction form
    688.15/1,031.87 = 225.88/x
  3. Step 3: Cross multiply
    688.15x = 1,031.87 × 225.88
  4. Step 4: Simplify right side
    688.15x = 233,078.80
  5. Step 5: Solve for x
    x = 233,078.80/688.15
  6. Step 6: Final answer
    x = 338.70

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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.