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Finding the Fourth Proportional to 892.12, 1,230.80 and 537.92

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Solution

The fourth proportional to 892.12, 1,230.80 and 537.92 is: 742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.12 : 1,230.80 = 537.92 : x
  2. Step 2: Convert to fraction form
    892.12/1,230.80 = 537.92/x
  3. Step 3: Cross multiply
    892.12x = 1,230.80 × 537.92
  4. Step 4: Simplify right side
    892.12x = 662,071.94
  5. Step 5: Solve for x
    x = 662,071.94/892.12
  6. Step 6: Final answer
    x = 742.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.