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Finding the Fourth Proportional to 400.82, 597.72 and 397.17

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Solution

The fourth proportional to 400.82, 597.72 and 397.17 is: 592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.82 : 597.72 = 397.17 : x
  2. Step 2: Convert to fraction form
    400.82/597.72 = 397.17/x
  3. Step 3: Cross multiply
    400.82x = 597.72 × 397.17
  4. Step 4: Simplify right side
    400.82x = 237,396.45
  5. Step 5: Solve for x
    x = 237,396.45/400.82
  6. Step 6: Final answer
    x = 592.28

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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.