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Finding the Fourth Proportional to 792, 1,093.20 and 516

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Solution

The fourth proportional to 792, 1,093.20 and 516 is: 712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    792 : 1,093.20 = 516 : x
  2. Step 2: Convert to fraction form
    792/1,093.20 = 516/x
  3. Step 3: Cross multiply
    792x = 1,093.20 × 516
  4. Step 4: Simplify right side
    792x = 564,091.20
  5. Step 5: Solve for x
    x = 564,091.20/792
  6. Step 6: Final answer
    x = 712.24

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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.