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Finding the Fourth Proportional to 588.36, 880.08 and 449.88

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Solution

The fourth proportional to 588.36, 880.08 and 449.88 is: 672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.36 : 880.08 = 449.88 : x
  2. Step 2: Convert to fraction form
    588.36/880.08 = 449.88/x
  3. Step 3: Cross multiply
    588.36x = 880.08 × 449.88
  4. Step 4: Simplify right side
    588.36x = 395,930.39
  5. Step 5: Solve for x
    x = 395,930.39/588.36
  6. Step 6: Final answer
    x = 672.94

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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.