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Finding the Fourth Proportional to 801.77, 1,195.65 and 713.27

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Solution

The fourth proportional to 801.77, 1,195.65 and 713.27 is: 1,063.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.77 : 1,195.65 = 713.27 : x
  2. Step 2: Convert to fraction form
    801.77/1,195.65 = 713.27/x
  3. Step 3: Cross multiply
    801.77x = 1,195.65 × 713.27
  4. Step 4: Simplify right side
    801.77x = 852,822.48
  5. Step 5: Solve for x
    x = 852,822.48/801.77
  6. Step 6: Final answer
    x = 1,063.68

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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.