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Finding the Fourth Proportional to 409.24, 608.31 and 398.17

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Solution

The fourth proportional to 409.24, 608.31 and 398.17 is: 591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.24 : 608.31 = 398.17 : x
  2. Step 2: Convert to fraction form
    409.24/608.31 = 398.17/x
  3. Step 3: Cross multiply
    409.24x = 608.31 × 398.17
  4. Step 4: Simplify right side
    409.24x = 242,210.79
  5. Step 5: Solve for x
    x = 242,210.79/409.24
  6. Step 6: Final answer
    x = 591.86

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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.