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Finding the Fourth Proportional to 474.24, 654 and 408.66

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Solution

The fourth proportional to 474.24, 654 and 408.66 is: 563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.24 : 654 = 408.66 : x
  2. Step 2: Convert to fraction form
    474.24/654 = 408.66/x
  3. Step 3: Cross multiply
    474.24x = 654 × 408.66
  4. Step 4: Simplify right side
    474.24x = 267,263.64
  5. Step 5: Solve for x
    x = 267,263.64/474.24
  6. Step 6: Final answer
    x = 563.56

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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.