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Finding the Fourth Proportional to 458.46, 631.17 and 397.14

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Solution

The fourth proportional to 458.46, 631.17 and 397.14 is: 546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.46 : 631.17 = 397.14 : x
  2. Step 2: Convert to fraction form
    458.46/631.17 = 397.14/x
  3. Step 3: Cross multiply
    458.46x = 631.17 × 397.14
  4. Step 4: Simplify right side
    458.46x = 250,662.85
  5. Step 5: Solve for x
    x = 250,662.85/458.46
  6. Step 6: Final answer
    x = 546.75

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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.