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Finding the Fourth Proportional to 768.58, 1,152.89 and 281.59

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Solution

The fourth proportional to 768.58, 1,152.89 and 281.59 is: 422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.58 : 1,152.89 = 281.59 : x
  2. Step 2: Convert to fraction form
    768.58/1,152.89 = 281.59/x
  3. Step 3: Cross multiply
    768.58x = 1,152.89 × 281.59
  4. Step 4: Simplify right side
    768.58x = 324,642.30
  5. Step 5: Solve for x
    x = 324,642.30/768.58
  6. Step 6: Final answer
    x = 422.39

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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.