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Finding the Fourth Proportional to 834.23, 1,150.86 and 539.60

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Solution

The fourth proportional to 834.23, 1,150.86 and 539.60 is: 744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.23 : 1,150.86 = 539.60 : x
  2. Step 2: Convert to fraction form
    834.23/1,150.86 = 539.60/x
  3. Step 3: Cross multiply
    834.23x = 1,150.86 × 539.60
  4. Step 4: Simplify right side
    834.23x = 620,997.29
  5. Step 5: Solve for x
    x = 620,997.29/834.23
  6. Step 6: Final answer
    x = 744.39

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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.