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Finding the Fourth Proportional to 742.36, 1,114.98 and 614.14

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Solution

The fourth proportional to 742.36, 1,114.98 and 614.14 is: 922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.36 : 1,114.98 = 614.14 : x
  2. Step 2: Convert to fraction form
    742.36/1,114.98 = 614.14/x
  3. Step 3: Cross multiply
    742.36x = 1,114.98 × 614.14
  4. Step 4: Simplify right side
    742.36x = 684,753.82
  5. Step 5: Solve for x
    x = 684,753.82/742.36
  6. Step 6: Final answer
    x = 922.40

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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.