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Finding the Fourth Proportional to 934, 1,288.96 and 713.12

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Solution

The fourth proportional to 934, 1,288.96 and 713.12 is: 984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    934 : 1,288.96 = 713.12 : x
  2. Step 2: Convert to fraction form
    934/1,288.96 = 713.12/x
  3. Step 3: Cross multiply
    934x = 1,288.96 × 713.12
  4. Step 4: Simplify right side
    934x = 919,183.16
  5. Step 5: Solve for x
    x = 919,183.16/934
  6. Step 6: Final answer
    x = 984.14

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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.