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Finding the Fourth Proportional to 460.12, 634.14 and 343.72

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Solution

The fourth proportional to 460.12, 634.14 and 343.72 is: 473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.12 : 634.14 = 343.72 : x
  2. Step 2: Convert to fraction form
    460.12/634.14 = 343.72/x
  3. Step 3: Cross multiply
    460.12x = 634.14 × 343.72
  4. Step 4: Simplify right side
    460.12x = 217,966.60
  5. Step 5: Solve for x
    x = 217,966.60/460.12
  6. Step 6: Final answer
    x = 473.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.