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Finding the Fourth Proportional to 952.43, 1,317.95 and 812.33

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Solution

The fourth proportional to 952.43, 1,317.95 and 812.33 is: 1,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.43 : 1,317.95 = 812.33 : x
  2. Step 2: Convert to fraction form
    952.43/1,317.95 = 812.33/x
  3. Step 3: Cross multiply
    952.43x = 1,317.95 × 812.33
  4. Step 4: Simplify right side
    952.43x = 1,070,599.67
  5. Step 5: Solve for x
    x = 1,070,599.67/952.43
  6. Step 6: Final answer
    x = 1,124.08

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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.