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Finding the Fourth Proportional to 958.70, 1,322.28 and 826.15

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Solution

The fourth proportional to 958.70, 1,322.28 and 826.15 is: 1,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.70 : 1,322.28 = 826.15 : x
  2. Step 2: Convert to fraction form
    958.70/1,322.28 = 826.15/x
  3. Step 3: Cross multiply
    958.70x = 1,322.28 × 826.15
  4. Step 4: Simplify right side
    958.70x = 1,092,401.62
  5. Step 5: Solve for x
    x = 1,092,401.62/958.70
  6. Step 6: Final answer
    x = 1,139.46

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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.