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Finding the Fourth Proportional to 834.32, 1,151.44 and 572.24

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Solution

The fourth proportional to 834.32, 1,151.44 and 572.24 is: 789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.32 : 1,151.44 = 572.24 : x
  2. Step 2: Convert to fraction form
    834.32/1,151.44 = 572.24/x
  3. Step 3: Cross multiply
    834.32x = 1,151.44 × 572.24
  4. Step 4: Simplify right side
    834.32x = 658,900.03
  5. Step 5: Solve for x
    x = 658,900.03/834.32
  6. Step 6: Final answer
    x = 789.74

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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.