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Finding the Fourth Proportional to 834.49, 1,151.51 and 691.46

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Solution

The fourth proportional to 834.49, 1,151.51 and 691.46 is: 954.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.49 : 1,151.51 = 691.46 : x
  2. Step 2: Convert to fraction form
    834.49/1,151.51 = 691.46/x
  3. Step 3: Cross multiply
    834.49x = 1,151.51 × 691.46
  4. Step 4: Simplify right side
    834.49x = 796,223.10
  5. Step 5: Solve for x
    x = 796,223.10/834.49
  6. Step 6: Final answer
    x = 954.14

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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.