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Finding the Fourth Proportional to 1,034.22, 1,550.97 and 417.78

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Solution

The fourth proportional to 1,034.22, 1,550.97 and 417.78 is: 626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.22 : 1,550.97 = 417.78 : x
  2. Step 2: Convert to fraction form
    1,034.22/1,550.97 = 417.78/x
  3. Step 3: Cross multiply
    1,034.22x = 1,550.97 × 417.78
  4. Step 4: Simplify right side
    1,034.22x = 647,964.25
  5. Step 5: Solve for x
    x = 647,964.25/1,034.22
  6. Step 6: Final answer
    x = 626.52

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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.