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Finding the Fourth Proportional to 647.30, 892.80 and 408.11

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Solution

The fourth proportional to 647.30, 892.80 and 408.11 is: 562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.30 : 892.80 = 408.11 : x
  2. Step 2: Convert to fraction form
    647.30/892.80 = 408.11/x
  3. Step 3: Cross multiply
    647.30x = 892.80 × 408.11
  4. Step 4: Simplify right side
    647.30x = 364,356.14
  5. Step 5: Solve for x
    x = 364,356.14/647.30
  6. Step 6: Final answer
    x = 562.88

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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.