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Finding the Fourth Proportional to 928.67, 1,280.96 and 596.57

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Solution

The fourth proportional to 928.67, 1,280.96 and 596.57 is: 822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.67 : 1,280.96 = 596.57 : x
  2. Step 2: Convert to fraction form
    928.67/1,280.96 = 596.57/x
  3. Step 3: Cross multiply
    928.67x = 1,280.96 × 596.57
  4. Step 4: Simplify right side
    928.67x = 764,182.31
  5. Step 5: Solve for x
    x = 764,182.31/928.67
  6. Step 6: Final answer
    x = 822.88

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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.