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Finding the Fourth Proportional to 801.88, 1,202.76 and 282.28

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Solution

The fourth proportional to 801.88, 1,202.76 and 282.28 is: 423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.88 : 1,202.76 = 282.28 : x
  2. Step 2: Convert to fraction form
    801.88/1,202.76 = 282.28/x
  3. Step 3: Cross multiply
    801.88x = 1,202.76 × 282.28
  4. Step 4: Simplify right side
    801.88x = 339,515.09
  5. Step 5: Solve for x
    x = 339,515.09/801.88
  6. Step 6: Final answer
    x = 423.40

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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.