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Finding the Fourth Proportional to 756.52, 1,132.61 and 512.61

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Solution

The fourth proportional to 756.52, 1,132.61 and 512.61 is: 767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.52 : 1,132.61 = 512.61 : x
  2. Step 2: Convert to fraction form
    756.52/1,132.61 = 512.61/x
  3. Step 3: Cross multiply
    756.52x = 1,132.61 × 512.61
  4. Step 4: Simplify right side
    756.52x = 580,588.49
  5. Step 5: Solve for x
    x = 580,588.49/756.52
  6. Step 6: Final answer
    x = 767.45

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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.