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Finding the Fourth Proportional to 815.96, 1,124.25 and 553.52

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Solution

The fourth proportional to 815.96, 1,124.25 and 553.52 is: 762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.96 : 1,124.25 = 553.52 : x
  2. Step 2: Convert to fraction form
    815.96/1,124.25 = 553.52/x
  3. Step 3: Cross multiply
    815.96x = 1,124.25 × 553.52
  4. Step 4: Simplify right side
    815.96x = 622,294.86
  5. Step 5: Solve for x
    x = 622,294.86/815.96
  6. Step 6: Final answer
    x = 762.65

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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.