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Finding the Fourth Proportional to 834.50, 1,151.57 and 461.46

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Solution

The fourth proportional to 834.50, 1,151.57 and 461.46 is: 636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.50 : 1,151.57 = 461.46 : x
  2. Step 2: Convert to fraction form
    834.50/1,151.57 = 461.46/x
  3. Step 3: Cross multiply
    834.50x = 1,151.57 × 461.46
  4. Step 4: Simplify right side
    834.50x = 531,398.45
  5. Step 5: Solve for x
    x = 531,398.45/834.50
  6. Step 6: Final answer
    x = 636.78

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1.5x scale

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.