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Finding the Fourth Proportional to 688.17, 1,031.33 and 379.56

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Solution

The fourth proportional to 688.17, 1,031.33 and 379.56 is: 568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.17 : 1,031.33 = 379.56 : x
  2. Step 2: Convert to fraction form
    688.17/1,031.33 = 379.56/x
  3. Step 3: Cross multiply
    688.17x = 1,031.33 × 379.56
  4. Step 4: Simplify right side
    688.17x = 391,449.72
  5. Step 5: Solve for x
    x = 391,449.72/688.17
  6. Step 6: Final answer
    x = 568.83

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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.