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Finding the Fourth Proportional to 1,034.31, 1,550.71 and 486.19

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Solution

The fourth proportional to 1,034.31, 1,550.71 and 486.19 is: 728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.31 : 1,550.71 = 486.19 : x
  2. Step 2: Convert to fraction form
    1,034.31/1,550.71 = 486.19/x
  3. Step 3: Cross multiply
    1,034.31x = 1,550.71 × 486.19
  4. Step 4: Simplify right side
    1,034.31x = 753,939.69
  5. Step 5: Solve for x
    x = 753,939.69/1,034.31
  6. Step 6: Final answer
    x = 728.93

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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.