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Finding the Fourth Proportional to 742.01, 1,118.01 and 614.84

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Solution

The fourth proportional to 742.01, 1,118.01 and 614.84 is: 926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.01 : 1,118.01 = 614.84 : x
  2. Step 2: Convert to fraction form
    742.01/1,118.01 = 614.84/x
  3. Step 3: Cross multiply
    742.01x = 1,118.01 × 614.84
  4. Step 4: Simplify right side
    742.01x = 687,391.68
  5. Step 5: Solve for x
    x = 687,391.68/742.01
  6. Step 6: Final answer
    x = 926.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.