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Finding the Fourth Proportional to 757.33, 1,134.16 and 513.11

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Solution

The fourth proportional to 757.33, 1,134.16 and 513.11 is: 768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.33 : 1,134.16 = 513.11 : x
  2. Step 2: Convert to fraction form
    757.33/1,134.16 = 513.11/x
  3. Step 3: Cross multiply
    757.33x = 1,134.16 × 513.11
  4. Step 4: Simplify right side
    757.33x = 581,948.84
  5. Step 5: Solve for x
    x = 581,948.84/757.33
  6. Step 6: Final answer
    x = 768.42

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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.