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Finding the Fourth Proportional to 952.97, 1,315.17 and 579.83

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Solution

The fourth proportional to 952.97, 1,315.17 and 579.83 is: 800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.97 : 1,315.17 = 579.83 : x
  2. Step 2: Convert to fraction form
    952.97/1,315.17 = 579.83/x
  3. Step 3: Cross multiply
    952.97x = 1,315.17 × 579.83
  4. Step 4: Simplify right side
    952.97x = 762,568.45
  5. Step 5: Solve for x
    x = 762,568.45/952.97
  6. Step 6: Final answer
    x = 800.21

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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.