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Finding the Fourth Proportional to 792.70, 1,189.16 and 748.98

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Solution

The fourth proportional to 792.70, 1,189.16 and 748.98 is: 1,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.70 : 1,189.16 = 748.98 : x
  2. Step 2: Convert to fraction form
    792.70/1,189.16 = 748.98/x
  3. Step 3: Cross multiply
    792.70x = 1,189.16 × 748.98
  4. Step 4: Simplify right side
    792.70x = 890,656.53
  5. Step 5: Solve for x
    x = 890,656.53/792.70
  6. Step 6: Final answer
    x = 1,123.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.