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Finding the Fourth Proportional to 818.36, 1,229.34 and 493.92

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Solution

The fourth proportional to 818.36, 1,229.34 and 493.92 is: 741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.36 : 1,229.34 = 493.92 : x
  2. Step 2: Convert to fraction form
    818.36/1,229.34 = 493.92/x
  3. Step 3: Cross multiply
    818.36x = 1,229.34 × 493.92
  4. Step 4: Simplify right side
    818.36x = 607,195.61
  5. Step 5: Solve for x
    x = 607,195.61/818.36
  6. Step 6: Final answer
    x = 741.97

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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.