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Finding the Fourth Proportional to 449.04, 616.37 and 398.82

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Solution

The fourth proportional to 449.04, 616.37 and 398.82 is: 547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.04 : 616.37 = 398.82 : x
  2. Step 2: Convert to fraction form
    449.04/616.37 = 398.82/x
  3. Step 3: Cross multiply
    449.04x = 616.37 × 398.82
  4. Step 4: Simplify right side
    449.04x = 245,818.69
  5. Step 5: Solve for x
    x = 245,818.69/449.04
  6. Step 6: Final answer
    x = 547.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.