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Finding the Fourth Proportional to 879.72, 1,213.29 and 748.50

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Solution

The fourth proportional to 879.72, 1,213.29 and 748.50 is: 1,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.72 : 1,213.29 = 748.50 : x
  2. Step 2: Convert to fraction form
    879.72/1,213.29 = 748.50/x
  3. Step 3: Cross multiply
    879.72x = 1,213.29 × 748.50
  4. Step 4: Simplify right side
    879.72x = 908,147.57
  5. Step 5: Solve for x
    x = 908,147.57/879.72
  6. Step 6: Final answer
    x = 1,032.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.