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Finding the Fourth Proportional to 792.18, 1,180.31 and 742.50

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Solution

The fourth proportional to 792.18, 1,180.31 and 742.50 is: 1,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.18 : 1,180.31 = 742.50 : x
  2. Step 2: Convert to fraction form
    792.18/1,180.31 = 742.50/x
  3. Step 3: Cross multiply
    792.18x = 1,180.31 × 742.50
  4. Step 4: Simplify right side
    792.18x = 876,376.46
  5. Step 5: Solve for x
    x = 876,376.46/792.18
  6. Step 6: Final answer
    x = 1,106.28

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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.