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Finding the Fourth Proportional to 679.92, 1,013.34 and 678.84

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Solution

The fourth proportional to 679.92, 1,013.34 and 678.84 is: 1,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.92 : 1,013.34 = 678.84 : x
  2. Step 2: Convert to fraction form
    679.92/1,013.34 = 678.84/x
  3. Step 3: Cross multiply
    679.92x = 1,013.34 × 678.84
  4. Step 4: Simplify right side
    679.92x = 687,895.73
  5. Step 5: Solve for x
    x = 687,895.73/679.92
  6. Step 6: Final answer
    x = 1,011.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.