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Finding the Fourth Proportional to 742.66, 1,114.12 and 468.43

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Solution

The fourth proportional to 742.66, 1,114.12 and 468.43 is: 702.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.66 : 1,114.12 = 468.43 : x
  2. Step 2: Convert to fraction form
    742.66/1,114.12 = 468.43/x
  3. Step 3: Cross multiply
    742.66x = 1,114.12 × 468.43
  4. Step 4: Simplify right side
    742.66x = 521,887.23
  5. Step 5: Solve for x
    x = 521,887.23/742.66
  6. Step 6: Final answer
    x = 702.73

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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.