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Finding the Fourth Proportional to 928.23, 1,281.39 and 596.85

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Solution

The fourth proportional to 928.23, 1,281.39 and 596.85 is: 823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.23 : 1,281.39 = 596.85 : x
  2. Step 2: Convert to fraction form
    928.23/1,281.39 = 596.85/x
  3. Step 3: Cross multiply
    928.23x = 1,281.39 × 596.85
  4. Step 4: Simplify right side
    928.23x = 764,797.62
  5. Step 5: Solve for x
    x = 764,797.62/928.23
  6. Step 6: Final answer
    x = 823.93

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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.