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Finding the Fourth Proportional to 834.40, 1,150.91 and 709.56

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Solution

The fourth proportional to 834.40, 1,150.91 and 709.56 is: 978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.40 : 1,150.91 = 709.56 : x
  2. Step 2: Convert to fraction form
    834.40/1,150.91 = 709.56/x
  3. Step 3: Cross multiply
    834.40x = 1,150.91 × 709.56
  4. Step 4: Simplify right side
    834.40x = 816,638.81
  5. Step 5: Solve for x
    x = 816,638.81/834.40
  6. Step 6: Final answer
    x = 978.71

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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.