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Finding the Fourth Proportional to 589.64, 813.99 and 449.78

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Solution

The fourth proportional to 589.64, 813.99 and 449.78 is: 620.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.64 : 813.99 = 449.78 : x
  2. Step 2: Convert to fraction form
    589.64/813.99 = 449.78/x
  3. Step 3: Cross multiply
    589.64x = 813.99 × 449.78
  4. Step 4: Simplify right side
    589.64x = 366,116.42
  5. Step 5: Solve for x
    x = 366,116.42/589.64
  6. Step 6: Final answer
    x = 620.92

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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.