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Finding the Fourth Proportional to 892.14, 1,230.57 and 537.83

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Solution

The fourth proportional to 892.14, 1,230.57 and 537.83 is: 741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.14 : 1,230.57 = 537.83 : x
  2. Step 2: Convert to fraction form
    892.14/1,230.57 = 537.83/x
  3. Step 3: Cross multiply
    892.14x = 1,230.57 × 537.83
  4. Step 4: Simplify right side
    892.14x = 661,831.31
  5. Step 5: Solve for x
    x = 661,831.31/892.14
  6. Step 6: Final answer
    x = 741.85

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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.