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Finding the Fourth Proportional to 801.99, 1,202.77 and 363.07

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Solution

The fourth proportional to 801.99, 1,202.77 and 363.07 is: 544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.99 : 1,202.77 = 363.07 : x
  2. Step 2: Convert to fraction form
    801.99/1,202.77 = 363.07/x
  3. Step 3: Cross multiply
    801.99x = 1,202.77 × 363.07
  4. Step 4: Simplify right side
    801.99x = 436,689.70
  5. Step 5: Solve for x
    x = 436,689.70/801.99
  6. Step 6: Final answer
    x = 544.51

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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.