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Finding the Fourth Proportional to 488.27, 729.77 and 449.35

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Solution

The fourth proportional to 488.27, 729.77 and 449.35 is: 671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.27 : 729.77 = 449.35 : x
  2. Step 2: Convert to fraction form
    488.27/729.77 = 449.35/x
  3. Step 3: Cross multiply
    488.27x = 729.77 × 449.35
  4. Step 4: Simplify right side
    488.27x = 327,922.29
  5. Step 5: Solve for x
    x = 327,922.29/488.27
  6. Step 6: Final answer
    x = 671.60

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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.