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Finding the Fourth Proportional to 992.79, 1,486.44 and 748.57

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Solution

The fourth proportional to 992.79, 1,486.44 and 748.57 is: 1,120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.79 : 1,486.44 = 748.57 : x
  2. Step 2: Convert to fraction form
    992.79/1,486.44 = 748.57/x
  3. Step 3: Cross multiply
    992.79x = 1,486.44 × 748.57
  4. Step 4: Simplify right side
    992.79x = 1,112,704.39
  5. Step 5: Solve for x
    x = 1,112,704.39/992.79
  6. Step 6: Final answer
    x = 1,120.79

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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.