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Finding the Fourth Proportional to 756.72, 1,135.38 and 513.12

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Solution

The fourth proportional to 756.72, 1,135.38 and 513.12 is: 769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.72 : 1,135.38 = 513.12 : x
  2. Step 2: Convert to fraction form
    756.72/1,135.38 = 513.12/x
  3. Step 3: Cross multiply
    756.72x = 1,135.38 × 513.12
  4. Step 4: Simplify right side
    756.72x = 582,586.19
  5. Step 5: Solve for x
    x = 582,586.19/756.72
  6. Step 6: Final answer
    x = 769.88

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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.