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Finding the Fourth Proportional to 756.46, 1,136.67 and 709.75

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Solution

The fourth proportional to 756.46, 1,136.67 and 709.75 is: 1,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.46 : 1,136.67 = 709.75 : x
  2. Step 2: Convert to fraction form
    756.46/1,136.67 = 709.75/x
  3. Step 3: Cross multiply
    756.46x = 1,136.67 × 709.75
  4. Step 4: Simplify right side
    756.46x = 806,751.53
  5. Step 5: Solve for x
    x = 806,751.53/756.46
  6. Step 6: Final answer
    x = 1,066.48

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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.