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Finding the Fourth Proportional to 1,034.85, 1,550.47 and 862.63

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Solution

The fourth proportional to 1,034.85, 1,550.47 and 862.63 is: 1,292.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.85 : 1,550.47 = 862.63 : x
  2. Step 2: Convert to fraction form
    1,034.85/1,550.47 = 862.63/x
  3. Step 3: Cross multiply
    1,034.85x = 1,550.47 × 862.63
  4. Step 4: Simplify right side
    1,034.85x = 1,337,481.94
  5. Step 5: Solve for x
    x = 1,337,481.94/1,034.85
  6. Step 6: Final answer
    x = 1,292.44

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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.