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Finding the Fourth Proportional to 488.08, 729.49 and 449.17

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Solution

The fourth proportional to 488.08, 729.49 and 449.17 is: 671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.08 : 729.49 = 449.17 : x
  2. Step 2: Convert to fraction form
    488.08/729.49 = 449.17/x
  3. Step 3: Cross multiply
    488.08x = 729.49 × 449.17
  4. Step 4: Simplify right side
    488.08x = 327,659.69
  5. Step 5: Solve for x
    x = 327,659.69/488.08
  6. Step 6: Final answer
    x = 671.32

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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.