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Finding the Fourth Proportional to 400.56, 597.34 and 396.92

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Solution

The fourth proportional to 400.56, 597.34 and 396.92 is: 591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.56 : 597.34 = 396.92 : x
  2. Step 2: Convert to fraction form
    400.56/597.34 = 396.92/x
  3. Step 3: Cross multiply
    400.56x = 597.34 × 396.92
  4. Step 4: Simplify right side
    400.56x = 237,096.19
  5. Step 5: Solve for x
    x = 237,096.19/400.56
  6. Step 6: Final answer
    x = 591.91

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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.