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Finding the Fourth Proportional to 792.96, 1,195.40 and 740.13

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Solution

The fourth proportional to 792.96, 1,195.40 and 740.13 is: 1,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.96 : 1,195.40 = 740.13 : x
  2. Step 2: Convert to fraction form
    792.96/1,195.40 = 740.13/x
  3. Step 3: Cross multiply
    792.96x = 1,195.40 × 740.13
  4. Step 4: Simplify right side
    792.96x = 884,747.70
  5. Step 5: Solve for x
    x = 884,747.70/792.96
  6. Step 6: Final answer
    x = 1,115.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.