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Finding the Fourth Proportional to 579, 871.65 and 449.76

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Solution

The fourth proportional to 579, 871.65 and 449.76 is: 677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    579 : 871.65 = 449.76 : x
  2. Step 2: Convert to fraction form
    579/871.65 = 449.76/x
  3. Step 3: Cross multiply
    579x = 871.65 × 449.76
  4. Step 4: Simplify right side
    579x = 392,033.30
  5. Step 5: Solve for x
    x = 392,033.30/579
  6. Step 6: Final answer
    x = 677.09

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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.