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Finding the Fourth Proportional to 487.96, 729.30 and 449.04

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Solution

The fourth proportional to 487.96, 729.30 and 449.04 is: 671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.96 : 729.30 = 449.04 : x
  2. Step 2: Convert to fraction form
    487.96/729.30 = 449.04/x
  3. Step 3: Cross multiply
    487.96x = 729.30 × 449.04
  4. Step 4: Simplify right side
    487.96x = 327,484.87
  5. Step 5: Solve for x
    x = 327,484.87/487.96
  6. Step 6: Final answer
    x = 671.13

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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.