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Finding the Fourth Proportional to 1,172.79, 1,759.17 and 742.68

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Solution

The fourth proportional to 1,172.79, 1,759.17 and 742.68 is: 1,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.79 : 1,759.17 = 742.68 : x
  2. Step 2: Convert to fraction form
    1,172.79/1,759.17 = 742.68/x
  3. Step 3: Cross multiply
    1,172.79x = 1,759.17 × 742.68
  4. Step 4: Simplify right side
    1,172.79x = 1,306,500.38
  5. Step 5: Solve for x
    x = 1,306,500.38/1,172.79
  6. Step 6: Final answer
    x = 1,114.01

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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.