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Finding the Fourth Proportional to 979.88, 1,353.46 and 794.04

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Solution

The fourth proportional to 979.88, 1,353.46 and 794.04 is: 1,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.88 : 1,353.46 = 794.04 : x
  2. Step 2: Convert to fraction form
    979.88/1,353.46 = 794.04/x
  3. Step 3: Cross multiply
    979.88x = 1,353.46 × 794.04
  4. Step 4: Simplify right side
    979.88x = 1,074,701.38
  5. Step 5: Solve for x
    x = 1,074,701.38/979.88
  6. Step 6: Final answer
    x = 1,096.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.