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Finding the Fourth Proportional to 409.12, 562.28 and 397.60

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Solution

The fourth proportional to 409.12, 562.28 and 397.60 is: 546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.12 : 562.28 = 397.60 : x
  2. Step 2: Convert to fraction form
    409.12/562.28 = 397.60/x
  3. Step 3: Cross multiply
    409.12x = 562.28 × 397.60
  4. Step 4: Simplify right side
    409.12x = 223,562.53
  5. Step 5: Solve for x
    x = 223,562.53/409.12
  6. Step 6: Final answer
    x = 546.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.