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Finding the Fourth Proportional to 797.97, 1,199.79 and 433.47

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Solution

The fourth proportional to 797.97, 1,199.79 and 433.47 is: 651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.97 : 1,199.79 = 433.47 : x
  2. Step 2: Convert to fraction form
    797.97/1,199.79 = 433.47/x
  3. Step 3: Cross multiply
    797.97x = 1,199.79 × 433.47
  4. Step 4: Simplify right side
    797.97x = 520,072.97
  5. Step 5: Solve for x
    x = 520,072.97/797.97
  6. Step 6: Final answer
    x = 651.75

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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.