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Finding the Fourth Proportional to 456.28, 626.21 and 408.58

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Solution

The fourth proportional to 456.28, 626.21 and 408.58 is: 560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.28 : 626.21 = 408.58 : x
  2. Step 2: Convert to fraction form
    456.28/626.21 = 408.58/x
  3. Step 3: Cross multiply
    456.28x = 626.21 × 408.58
  4. Step 4: Simplify right side
    456.28x = 255,856.88
  5. Step 5: Solve for x
    x = 255,856.88/456.28
  6. Step 6: Final answer
    x = 560.75

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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.