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Finding the Fourth Proportional to 934, 1,288.92 and 713.20

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Solution

The fourth proportional to 934, 1,288.92 and 713.20 is: 984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    934 : 1,288.92 = 713.20 : x
  2. Step 2: Convert to fraction form
    934/1,288.92 = 713.20/x
  3. Step 3: Cross multiply
    934x = 1,288.92 × 713.20
  4. Step 4: Simplify right side
    934x = 919,257.74
  5. Step 5: Solve for x
    x = 919,257.74/934
  6. Step 6: Final answer
    x = 984.22

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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.