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Finding the Fourth Proportional to 1,139.31, 1,709.62 and 481.14

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Solution

The fourth proportional to 1,139.31, 1,709.62 and 481.14 is: 721.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.31 : 1,709.62 = 481.14 : x
  2. Step 2: Convert to fraction form
    1,139.31/1,709.62 = 481.14/x
  3. Step 3: Cross multiply
    1,139.31x = 1,709.62 × 481.14
  4. Step 4: Simplify right side
    1,139.31x = 822,566.57
  5. Step 5: Solve for x
    x = 822,566.57/1,139.31
  6. Step 6: Final answer
    x = 721.99

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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.