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Finding the Fourth Proportional to 782.87, 1,079.22 and 635.24

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Solution

The fourth proportional to 782.87, 1,079.22 and 635.24 is: 875.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.87 : 1,079.22 = 635.24 : x
  2. Step 2: Convert to fraction form
    782.87/1,079.22 = 635.24/x
  3. Step 3: Cross multiply
    782.87x = 1,079.22 × 635.24
  4. Step 4: Simplify right side
    782.87x = 685,568.79
  5. Step 5: Solve for x
    x = 685,568.79/782.87
  6. Step 6: Final answer
    x = 875.72

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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.