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Finding the Fourth Proportional to 768.38, 1,151.86 and 403.42

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Solution

The fourth proportional to 768.38, 1,151.86 and 403.42 is: 604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.38 : 1,151.86 = 403.42 : x
  2. Step 2: Convert to fraction form
    768.38/1,151.86 = 403.42/x
  3. Step 3: Cross multiply
    768.38x = 1,151.86 × 403.42
  4. Step 4: Simplify right side
    768.38x = 464,683.36
  5. Step 5: Solve for x
    x = 464,683.36/768.38
  6. Step 6: Final answer
    x = 604.76

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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.