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Finding the Fourth Proportional to 687.92, 1,031.90 and 174.92

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Solution

The fourth proportional to 687.92, 1,031.90 and 174.92 is: 262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.92 : 1,031.90 = 174.92 : x
  2. Step 2: Convert to fraction form
    687.92/1,031.90 = 174.92/x
  3. Step 3: Cross multiply
    687.92x = 1,031.90 × 174.92
  4. Step 4: Simplify right side
    687.92x = 180,499.95
  5. Step 5: Solve for x
    x = 180,499.95/687.92
  6. Step 6: Final answer
    x = 262.39

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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.