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Finding the Fourth Proportional to 1,046.26, 1,568.60 and 635.30

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Solution

The fourth proportional to 1,046.26, 1,568.60 and 635.30 is: 952.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.26 : 1,568.60 = 635.30 : x
  2. Step 2: Convert to fraction form
    1,046.26/1,568.60 = 635.30/x
  3. Step 3: Cross multiply
    1,046.26x = 1,568.60 × 635.30
  4. Step 4: Simplify right side
    1,046.26x = 996,531.58
  5. Step 5: Solve for x
    x = 996,531.58/1,046.26
  6. Step 6: Final answer
    x = 952.47

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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.