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Finding the Fourth Proportional to 678.70, 1,016.45 and 461.10

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Solution

The fourth proportional to 678.70, 1,016.45 and 461.10 is: 690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.70 : 1,016.45 = 461.10 : x
  2. Step 2: Convert to fraction form
    678.70/1,016.45 = 461.10/x
  3. Step 3: Cross multiply
    678.70x = 1,016.45 × 461.10
  4. Step 4: Simplify right side
    678.70x = 468,685.10
  5. Step 5: Solve for x
    x = 468,685.10/678.70
  6. Step 6: Final answer
    x = 690.56

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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.