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Finding the Fourth Proportional to 687.80, 1,031.92 and 457.59

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Solution

The fourth proportional to 687.80, 1,031.92 and 457.59 is: 686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.80 : 1,031.92 = 457.59 : x
  2. Step 2: Convert to fraction form
    687.80/1,031.92 = 457.59/x
  3. Step 3: Cross multiply
    687.80x = 1,031.92 × 457.59
  4. Step 4: Simplify right side
    687.80x = 472,196.27
  5. Step 5: Solve for x
    x = 472,196.27/687.80
  6. Step 6: Final answer
    x = 686.54

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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.