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Finding the Fourth Proportional to 837.27, 1,255.87 and 282.02

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Solution

The fourth proportional to 837.27, 1,255.87 and 282.02 is: 423.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.27 : 1,255.87 = 282.02 : x
  2. Step 2: Convert to fraction form
    837.27/1,255.87 = 282.02/x
  3. Step 3: Cross multiply
    837.27x = 1,255.87 × 282.02
  4. Step 4: Simplify right side
    837.27x = 354,174.53
  5. Step 5: Solve for x
    x = 354,174.53/837.27
  6. Step 6: Final answer
    x = 423.01

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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.