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Finding the Fourth Proportional to 768.59, 1,152.89 and 662.89

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Solution

The fourth proportional to 768.59, 1,152.89 and 662.89 is: 994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.59 : 1,152.89 = 662.89 : x
  2. Step 2: Convert to fraction form
    768.59/1,152.89 = 662.89/x
  3. Step 3: Cross multiply
    768.59x = 1,152.89 × 662.89
  4. Step 4: Simplify right side
    768.59x = 764,230.17
  5. Step 5: Solve for x
    x = 764,230.17/768.59
  6. Step 6: Final answer
    x = 994.33

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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.