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Finding the Fourth Proportional to 756.76, 1,134.88 and 432.24

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Solution

The fourth proportional to 756.76, 1,134.88 and 432.24 is: 648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.76 : 1,134.88 = 432.24 : x
  2. Step 2: Convert to fraction form
    756.76/1,134.88 = 432.24/x
  3. Step 3: Cross multiply
    756.76x = 1,134.88 × 432.24
  4. Step 4: Simplify right side
    756.76x = 490,540.53
  5. Step 5: Solve for x
    x = 490,540.53/756.76
  6. Step 6: Final answer
    x = 648.21

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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.