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Finding the Fourth Proportional to 669.20, 1,000.86 and 596.60

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Solution

The fourth proportional to 669.20, 1,000.86 and 596.60 is: 892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.20 : 1,000.86 = 596.60 : x
  2. Step 2: Convert to fraction form
    669.20/1,000.86 = 596.60/x
  3. Step 3: Cross multiply
    669.20x = 1,000.86 × 596.60
  4. Step 4: Simplify right side
    669.20x = 597,113.08
  5. Step 5: Solve for x
    x = 597,113.08/669.20
  6. Step 6: Final answer
    x = 892.28

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Why These Related Problems?

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