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Finding the Fourth Proportional to 1,173.10, 1,618.68 and 731.14

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Solution

The fourth proportional to 1,173.10, 1,618.68 and 731.14 is: 1,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.10 : 1,618.68 = 731.14 : x
  2. Step 2: Convert to fraction form
    1,173.10/1,618.68 = 731.14/x
  3. Step 3: Cross multiply
    1,173.10x = 1,618.68 × 731.14
  4. Step 4: Simplify right side
    1,173.10x = 1,183,481.70
  5. Step 5: Solve for x
    x = 1,183,481.70/1,173.10
  6. Step 6: Final answer
    x = 1,008.85

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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.