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Finding the Fourth Proportional to 412.90, 616.39 and 398.47

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Solution

The fourth proportional to 412.90, 616.39 and 398.47 is: 594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.90 : 616.39 = 398.47 : x
  2. Step 2: Convert to fraction form
    412.90/616.39 = 398.47/x
  3. Step 3: Cross multiply
    412.90x = 616.39 × 398.47
  4. Step 4: Simplify right side
    412.90x = 245,613.78
  5. Step 5: Solve for x
    x = 245,613.78/412.90
  6. Step 6: Final answer
    x = 594.85

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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.