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Finding the Fourth Proportional to 759.95, 1,046.97 and 635.42

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Solution

The fourth proportional to 759.95, 1,046.97 and 635.42 is: 875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.95 : 1,046.97 = 635.42 : x
  2. Step 2: Convert to fraction form
    759.95/1,046.97 = 635.42/x
  3. Step 3: Cross multiply
    759.95x = 1,046.97 × 635.42
  4. Step 4: Simplify right side
    759.95x = 665,265.68
  5. Step 5: Solve for x
    x = 665,265.68/759.95
  6. Step 6: Final answer
    x = 875.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.