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Finding the Fourth Proportional to 460.92, 636.54 and 454.86

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Solution

The fourth proportional to 460.92, 636.54 and 454.86 is: 628.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.92 : 636.54 = 454.86 : x
  2. Step 2: Convert to fraction form
    460.92/636.54 = 454.86/x
  3. Step 3: Cross multiply
    460.92x = 636.54 × 454.86
  4. Step 4: Simplify right side
    460.92x = 289,536.58
  5. Step 5: Solve for x
    x = 289,536.58/460.92
  6. Step 6: Final answer
    x = 628.17

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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.