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Finding the Fourth Proportional to 412.98, 616.13 and 398.04

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Solution

The fourth proportional to 412.98, 616.13 and 398.04 is: 593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.98 : 616.13 = 398.04 : x
  2. Step 2: Convert to fraction form
    412.98/616.13 = 398.04/x
  3. Step 3: Cross multiply
    412.98x = 616.13 × 398.04
  4. Step 4: Simplify right side
    412.98x = 245,244.39
  5. Step 5: Solve for x
    x = 245,244.39/412.98
  6. Step 6: Final answer
    x = 593.84

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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.