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Finding the Fourth Proportional to 979.80, 1,351.90 and 560.08

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Solution

The fourth proportional to 979.80, 1,351.90 and 560.08 is: 772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.80 : 1,351.90 = 560.08 : x
  2. Step 2: Convert to fraction form
    979.80/1,351.90 = 560.08/x
  3. Step 3: Cross multiply
    979.80x = 1,351.90 × 560.08
  4. Step 4: Simplify right side
    979.80x = 757,172.15
  5. Step 5: Solve for x
    x = 757,172.15/979.80
  6. Step 6: Final answer
    x = 772.78

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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.