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Finding the Fourth Proportional to 688.72, 1,031.46 and 543.46

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Solution

The fourth proportional to 688.72, 1,031.46 and 543.46 is: 813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.72 : 1,031.46 = 543.46 : x
  2. Step 2: Convert to fraction form
    688.72/1,031.46 = 543.46/x
  3. Step 3: Cross multiply
    688.72x = 1,031.46 × 543.46
  4. Step 4: Simplify right side
    688.72x = 560,557.25
  5. Step 5: Solve for x
    x = 560,557.25/688.72
  6. Step 6: Final answer
    x = 813.91

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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.