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Finding the Fourth Proportional to 1,034.67, 1,550.19 and 862.44

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Solution

The fourth proportional to 1,034.67, 1,550.19 and 862.44 is: 1,292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.67 : 1,550.19 = 862.44 : x
  2. Step 2: Convert to fraction form
    1,034.67/1,550.19 = 862.44/x
  3. Step 3: Cross multiply
    1,034.67x = 1,550.19 × 862.44
  4. Step 4: Simplify right side
    1,034.67x = 1,336,945.86
  5. Step 5: Solve for x
    x = 1,336,945.86/1,034.67
  6. Step 6: Final answer
    x = 1,292.15

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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.