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Finding the Fourth Proportional to 589.36, 880.64 and 449.73

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Solution

The fourth proportional to 589.36, 880.64 and 449.73 is: 672.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.36 : 880.64 = 449.73 : x
  2. Step 2: Convert to fraction form
    589.36/880.64 = 449.73/x
  3. Step 3: Cross multiply
    589.36x = 880.64 × 449.73
  4. Step 4: Simplify right side
    589.36x = 396,052.43
  5. Step 5: Solve for x
    x = 396,052.43/589.36
  6. Step 6: Final answer
    x = 672.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.