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Finding the Fourth Proportional to 801.36, 1,103.40 and 635.04

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Solution

The fourth proportional to 801.36, 1,103.40 and 635.04 is: 874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.36 : 1,103.40 = 635.04 : x
  2. Step 2: Convert to fraction form
    801.36/1,103.40 = 635.04/x
  3. Step 3: Cross multiply
    801.36x = 1,103.40 × 635.04
  4. Step 4: Simplify right side
    801.36x = 700,703.14
  5. Step 5: Solve for x
    x = 700,703.14/801.36
  6. Step 6: Final answer
    x = 874.39

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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.