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Finding the Fourth Proportional to 979.82, 1,352.18 and 560.17

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Solution

The fourth proportional to 979.82, 1,352.18 and 560.17 is: 773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.82 : 1,352.18 = 560.17 : x
  2. Step 2: Convert to fraction form
    979.82/1,352.18 = 560.17/x
  3. Step 3: Cross multiply
    979.82x = 1,352.18 × 560.17
  4. Step 4: Simplify right side
    979.82x = 757,450.67
  5. Step 5: Solve for x
    x = 757,450.67/979.82
  6. Step 6: Final answer
    x = 773.05

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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.