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Finding the Fourth Proportional to 979.26, 1,350.42 and 642.66

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Solution

The fourth proportional to 979.26, 1,350.42 and 642.66 is: 886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.26 : 1,350.42 = 642.66 : x
  2. Step 2: Convert to fraction form
    979.26/1,350.42 = 642.66/x
  3. Step 3: Cross multiply
    979.26x = 1,350.42 × 642.66
  4. Step 4: Simplify right side
    979.26x = 867,860.92
  5. Step 5: Solve for x
    x = 867,860.92/979.26
  6. Step 6: Final answer
    x = 886.24

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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.