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Finding the Fourth Proportional to 800.78, 1,193.20 and 713.44

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Solution

The fourth proportional to 800.78, 1,193.20 and 713.44 is: 1,063.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.78 : 1,193.20 = 713.44 : x
  2. Step 2: Convert to fraction form
    800.78/1,193.20 = 713.44/x
  3. Step 3: Cross multiply
    800.78x = 1,193.20 × 713.44
  4. Step 4: Simplify right side
    800.78x = 851,275.19
  5. Step 5: Solve for x
    x = 851,275.19/800.78
  6. Step 6: Final answer
    x = 1,063.06

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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.