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Finding the Fourth Proportional to 1,115.73, 1,539.14 and 722.88

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Solution

The fourth proportional to 1,115.73, 1,539.14 and 722.88 is: 997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.73 : 1,539.14 = 722.88 : x
  2. Step 2: Convert to fraction form
    1,115.73/1,539.14 = 722.88/x
  3. Step 3: Cross multiply
    1,115.73x = 1,539.14 × 722.88
  4. Step 4: Simplify right side
    1,115.73x = 1,112,609.91
  5. Step 5: Solve for x
    x = 1,112,609.91/1,115.73
  6. Step 6: Final answer
    x = 997.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.