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Finding the Fourth Proportional to 742.38, 1,023.87 and 493.80

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Solution

The fourth proportional to 742.38, 1,023.87 and 493.80 is: 681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.38 : 1,023.87 = 493.80 : x
  2. Step 2: Convert to fraction form
    742.38/1,023.87 = 493.80/x
  3. Step 3: Cross multiply
    742.38x = 1,023.87 × 493.80
  4. Step 4: Simplify right side
    742.38x = 505,587.01
  5. Step 5: Solve for x
    x = 505,587.01/742.38
  6. Step 6: Final answer
    x = 681.04

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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.