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Finding the Fourth Proportional to 488.33, 729.86 and 449.42

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Solution

The fourth proportional to 488.33, 729.86 and 449.42 is: 671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.33 : 729.86 = 449.42 : x
  2. Step 2: Convert to fraction form
    488.33/729.86 = 449.42/x
  3. Step 3: Cross multiply
    488.33x = 729.86 × 449.42
  4. Step 4: Simplify right side
    488.33x = 328,009.47
  5. Step 5: Solve for x
    x = 328,009.47/488.33
  6. Step 6: Final answer
    x = 671.69

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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.