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Finding the Fourth Proportional to 678.63, 1,016.31 and 461.55

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Solution

The fourth proportional to 678.63, 1,016.31 and 461.55 is: 691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.63 : 1,016.31 = 461.55 : x
  2. Step 2: Convert to fraction form
    678.63/1,016.31 = 461.55/x
  3. Step 3: Cross multiply
    678.63x = 1,016.31 × 461.55
  4. Step 4: Simplify right side
    678.63x = 469,077.88
  5. Step 5: Solve for x
    x = 469,077.88/678.63
  6. Step 6: Final answer
    x = 691.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.