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Finding the Fourth Proportional to 688.71, 1,031.40 and 323.61

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Solution

The fourth proportional to 688.71, 1,031.40 and 323.61 is: 484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.71 : 1,031.40 = 323.61 : x
  2. Step 2: Convert to fraction form
    688.71/1,031.40 = 323.61/x
  3. Step 3: Cross multiply
    688.71x = 1,031.40 × 323.61
  4. Step 4: Simplify right side
    688.71x = 333,767.49
  5. Step 5: Solve for x
    x = 333,767.49/688.71
  6. Step 6: Final answer
    x = 484.62

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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.