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Finding the Fourth Proportional to 834.74, 1,249.81 and 574.19

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Solution

The fourth proportional to 834.74, 1,249.81 and 574.19 is: 859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.74 : 1,249.81 = 574.19 : x
  2. Step 2: Convert to fraction form
    834.74/1,249.81 = 574.19/x
  3. Step 3: Cross multiply
    834.74x = 1,249.81 × 574.19
  4. Step 4: Simplify right side
    834.74x = 717,628.40
  5. Step 5: Solve for x
    x = 717,628.40/834.74
  6. Step 6: Final answer
    x = 859.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.