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Finding the Fourth Proportional to 834.17, 1,153.34 and 694.23

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Solution

The fourth proportional to 834.17, 1,153.34 and 694.23 is: 959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.17 : 1,153.34 = 694.23 : x
  2. Step 2: Convert to fraction form
    834.17/1,153.34 = 694.23/x
  3. Step 3: Cross multiply
    834.17x = 1,153.34 × 694.23
  4. Step 4: Simplify right side
    834.17x = 800,679.76
  5. Step 5: Solve for x
    x = 800,679.76/834.17
  6. Step 6: Final answer
    x = 959.86

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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.