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Finding the Fourth Proportional to 826.92, 1,143.34 and 723.16

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Solution

The fourth proportional to 826.92, 1,143.34 and 723.16 is: 999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.92 : 1,143.34 = 723.16 : x
  2. Step 2: Convert to fraction form
    826.92/1,143.34 = 723.16/x
  3. Step 3: Cross multiply
    826.92x = 1,143.34 × 723.16
  4. Step 4: Simplify right side
    826.92x = 826,817.75
  5. Step 5: Solve for x
    x = 826,817.75/826.92
  6. Step 6: Final answer
    x = 999.88

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1.5x scale

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.