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Finding the Fourth Proportional to 410.22, 564.53 and 396.85

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Solution

The fourth proportional to 410.22, 564.53 and 396.85 is: 546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.22 : 564.53 = 396.85 : x
  2. Step 2: Convert to fraction form
    410.22/564.53 = 396.85/x
  3. Step 3: Cross multiply
    410.22x = 564.53 × 396.85
  4. Step 4: Simplify right side
    410.22x = 224,033.73
  5. Step 5: Solve for x
    x = 224,033.73/410.22
  6. Step 6: Final answer
    x = 546.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.