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Finding the Fourth Proportional to 837.03, 1,255.71 and 289.20

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Solution

The fourth proportional to 837.03, 1,255.71 and 289.20 is: 433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.03 : 1,255.71 = 289.20 : x
  2. Step 2: Convert to fraction form
    837.03/1,255.71 = 289.20/x
  3. Step 3: Cross multiply
    837.03x = 1,255.71 × 289.20
  4. Step 4: Simplify right side
    837.03x = 363,151.33
  5. Step 5: Solve for x
    x = 363,151.33/837.03
  6. Step 6: Final answer
    x = 433.86

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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.