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Finding the Fourth Proportional to 1,034.12, 1,550.80 and 417.66

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Solution

The fourth proportional to 1,034.12, 1,550.80 and 417.66 is: 626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.12 : 1,550.80 = 417.66 : x
  2. Step 2: Convert to fraction form
    1,034.12/1,550.80 = 417.66/x
  3. Step 3: Cross multiply
    1,034.12x = 1,550.80 × 417.66
  4. Step 4: Simplify right side
    1,034.12x = 647,699.49
  5. Step 5: Solve for x
    x = 647,699.49/1,034.12
  6. Step 6: Final answer
    x = 626.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.