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Finding the Fourth Proportional to 792.80, 1,092.75 and 595.97

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Solution

The fourth proportional to 792.80, 1,092.75 and 595.97 is: 821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.80 : 1,092.75 = 595.97 : x
  2. Step 2: Convert to fraction form
    792.80/1,092.75 = 595.97/x
  3. Step 3: Cross multiply
    792.80x = 1,092.75 × 595.97
  4. Step 4: Simplify right side
    792.80x = 651,247.71
  5. Step 5: Solve for x
    x = 651,247.71/792.80
  6. Step 6: Final answer
    x = 821.45

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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.