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Finding the Fourth Proportional to 458.28, 631.38 and 414.60

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Solution

The fourth proportional to 458.28, 631.38 and 414.60 is: 571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.28 : 631.38 = 414.60 : x
  2. Step 2: Convert to fraction form
    458.28/631.38 = 414.60/x
  3. Step 3: Cross multiply
    458.28x = 631.38 × 414.60
  4. Step 4: Simplify right side
    458.28x = 261,770.15
  5. Step 5: Solve for x
    x = 261,770.15/458.28
  6. Step 6: Final answer
    x = 571.20

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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.