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Finding the Fourth Proportional to 759.75, 1,134.20 and 643.41

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Solution

The fourth proportional to 759.75, 1,134.20 and 643.41 is: 960.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.75 : 1,134.20 = 643.41 : x
  2. Step 2: Convert to fraction form
    759.75/1,134.20 = 643.41/x
  3. Step 3: Cross multiply
    759.75x = 1,134.20 × 643.41
  4. Step 4: Simplify right side
    759.75x = 729,752.40
  5. Step 5: Solve for x
    x = 729,752.40/759.75
  6. Step 6: Final answer
    x = 960.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.