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Finding the Fourth Proportional to 792.59, 1,182.90 and 723.20

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Solution

The fourth proportional to 792.59, 1,182.90 and 723.20 is: 1,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.59 : 1,182.90 = 723.20 : x
  2. Step 2: Convert to fraction form
    792.59/1,182.90 = 723.20/x
  3. Step 3: Cross multiply
    792.59x = 1,182.90 × 723.20
  4. Step 4: Simplify right side
    792.59x = 855,470.08
  5. Step 5: Solve for x
    x = 855,470.08/792.59
  6. Step 6: Final answer
    x = 1,079.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.