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Finding the Fourth Proportional to 801.58, 1,196.09 and 635.16

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Solution

The fourth proportional to 801.58, 1,196.09 and 635.16 is: 947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.58 : 1,196.09 = 635.16 : x
  2. Step 2: Convert to fraction form
    801.58/1,196.09 = 635.16/x
  3. Step 3: Cross multiply
    801.58x = 1,196.09 × 635.16
  4. Step 4: Simplify right side
    801.58x = 759,702.54
  5. Step 5: Solve for x
    x = 759,702.54/801.58
  6. Step 6: Final answer
    x = 947.76

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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.