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Finding the Fourth Proportional to 801.82, 1,203.48 and 494.27

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Solution

The fourth proportional to 801.82, 1,203.48 and 494.27 is: 741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.82 : 1,203.48 = 494.27 : x
  2. Step 2: Convert to fraction form
    801.82/1,203.48 = 494.27/x
  3. Step 3: Cross multiply
    801.82x = 1,203.48 × 494.27
  4. Step 4: Simplify right side
    801.82x = 594,844.06
  5. Step 5: Solve for x
    x = 594,844.06/801.82
  6. Step 6: Final answer
    x = 741.87

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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.