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Finding the Fourth Proportional to 759.86, 1,049.25 and 634.26

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Solution

The fourth proportional to 759.86, 1,049.25 and 634.26 is: 875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.86 : 1,049.25 = 634.26 : x
  2. Step 2: Convert to fraction form
    759.86/1,049.25 = 634.26/x
  3. Step 3: Cross multiply
    759.86x = 1,049.25 × 634.26
  4. Step 4: Simplify right side
    759.86x = 665,497.31
  5. Step 5: Solve for x
    x = 665,497.31/759.86
  6. Step 6: Final answer
    x = 875.82

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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.