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Finding the Fourth Proportional to 409.71, 558.30 and 408.27

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Solution

The fourth proportional to 409.71, 558.30 and 408.27 is: 556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.71 : 558.30 = 408.27 : x
  2. Step 2: Convert to fraction form
    409.71/558.30 = 408.27/x
  3. Step 3: Cross multiply
    409.71x = 558.30 × 408.27
  4. Step 4: Simplify right side
    409.71x = 227,937.14
  5. Step 5: Solve for x
    x = 227,937.14/409.71
  6. Step 6: Final answer
    x = 556.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.