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Finding the Fourth Proportional to 678.71, 1,016.93 and 653.43

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Solution

The fourth proportional to 678.71, 1,016.93 and 653.43 is: 979.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.71 : 1,016.93 = 653.43 : x
  2. Step 2: Convert to fraction form
    678.71/1,016.93 = 653.43/x
  3. Step 3: Cross multiply
    678.71x = 1,016.93 × 653.43
  4. Step 4: Simplify right side
    678.71x = 664,488.39
  5. Step 5: Solve for x
    x = 664,488.39/678.71
  6. Step 6: Final answer
    x = 979.05

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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.