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Finding the Fourth Proportional to 486.11, 731.75 and 419.12

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Solution

The fourth proportional to 486.11, 731.75 and 419.12 is: 630.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.11 : 731.75 = 419.12 : x
  2. Step 2: Convert to fraction form
    486.11/731.75 = 419.12/x
  3. Step 3: Cross multiply
    486.11x = 731.75 × 419.12
  4. Step 4: Simplify right side
    486.11x = 306,685.31
  5. Step 5: Solve for x
    x = 306,685.31/486.11
  6. Step 6: Final answer
    x = 630.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.