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Finding the Fourth Proportional to 952.14, 1,315.41 and 813.69

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Solution

The fourth proportional to 952.14, 1,315.41 and 813.69 is: 1,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.14 : 1,315.41 = 813.69 : x
  2. Step 2: Convert to fraction form
    952.14/1,315.41 = 813.69/x
  3. Step 3: Cross multiply
    952.14x = 1,315.41 × 813.69
  4. Step 4: Simplify right side
    952.14x = 1,070,335.96
  5. Step 5: Solve for x
    x = 1,070,335.96/952.14
  6. Step 6: Final answer
    x = 1,124.14

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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.