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Finding the Fourth Proportional to 463.14, 634.86 and 454.86

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Solution

The fourth proportional to 463.14, 634.86 and 454.86 is: 623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.14 : 634.86 = 454.86 : x
  2. Step 2: Convert to fraction form
    463.14/634.86 = 454.86/x
  3. Step 3: Cross multiply
    463.14x = 634.86 × 454.86
  4. Step 4: Simplify right side
    463.14x = 288,772.42
  5. Step 5: Solve for x
    x = 288,772.42/463.14
  6. Step 6: Final answer
    x = 623.51

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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.