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Finding the Fourth Proportional to 834.96, 1,150.56 and 688.62

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Solution

The fourth proportional to 834.96, 1,150.56 and 688.62 is: 948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.96 : 1,150.56 = 688.62 : x
  2. Step 2: Convert to fraction form
    834.96/1,150.56 = 688.62/x
  3. Step 3: Cross multiply
    834.96x = 1,150.56 × 688.62
  4. Step 4: Simplify right side
    834.96x = 792,298.63
  5. Step 5: Solve for x
    x = 792,298.63/834.96
  6. Step 6: Final answer
    x = 948.91

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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.