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Finding the Fourth Proportional to 892.74, 1,337.98 and 837.38

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Solution

The fourth proportional to 892.74, 1,337.98 and 837.38 is: 1,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.74 : 1,337.98 = 837.38 : x
  2. Step 2: Convert to fraction form
    892.74/1,337.98 = 837.38/x
  3. Step 3: Cross multiply
    892.74x = 1,337.98 × 837.38
  4. Step 4: Simplify right side
    892.74x = 1,120,397.69
  5. Step 5: Solve for x
    x = 1,120,397.69/892.74
  6. Step 6: Final answer
    x = 1,255.01

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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.