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Finding the Fourth Proportional to 799.84, 1,104.46 and 764.17

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Solution

The fourth proportional to 799.84, 1,104.46 and 764.17 is: 1,055.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.84 : 1,104.46 = 764.17 : x
  2. Step 2: Convert to fraction form
    799.84/1,104.46 = 764.17/x
  3. Step 3: Cross multiply
    799.84x = 1,104.46 × 764.17
  4. Step 4: Simplify right side
    799.84x = 843,988.46
  5. Step 5: Solve for x
    x = 843,988.46/799.84
  6. Step 6: Final answer
    x = 1,055.20

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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.