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Finding the Fourth Proportional to 892.04, 1,230.84 and 537.86

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Solution

The fourth proportional to 892.04, 1,230.84 and 537.86 is: 742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.04 : 1,230.84 = 537.86 : x
  2. Step 2: Convert to fraction form
    892.04/1,230.84 = 537.86/x
  3. Step 3: Cross multiply
    892.04x = 1,230.84 × 537.86
  4. Step 4: Simplify right side
    892.04x = 662,013.45
  5. Step 5: Solve for x
    x = 662,013.45/892.04
  6. Step 6: Final answer
    x = 742.14

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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.