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Finding the Fourth Proportional to 818.77, 1,229.20 and 494.77

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Solution

The fourth proportional to 818.77, 1,229.20 and 494.77 is: 742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.77 : 1,229.20 = 494.77 : x
  2. Step 2: Convert to fraction form
    818.77/1,229.20 = 494.77/x
  3. Step 3: Cross multiply
    818.77x = 1,229.20 × 494.77
  4. Step 4: Simplify right side
    818.77x = 608,168.81
  5. Step 5: Solve for x
    x = 608,168.81/818.77
  6. Step 6: Final answer
    x = 742.78

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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.