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Finding the Fourth Proportional to 460.41, 634.63 and 312.78

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Solution

The fourth proportional to 460.41, 634.63 and 312.78 is: 431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.41 : 634.63 = 312.78 : x
  2. Step 2: Convert to fraction form
    460.41/634.63 = 312.78/x
  3. Step 3: Cross multiply
    460.41x = 634.63 × 312.78
  4. Step 4: Simplify right side
    460.41x = 198,499.57
  5. Step 5: Solve for x
    x = 198,499.57/460.41
  6. Step 6: Final answer
    x = 431.14

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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.