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Finding the Fourth Proportional to 571.84, 789.12 and 350.80

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Solution

The fourth proportional to 571.84, 789.12 and 350.80 is: 484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.84 : 789.12 = 350.80 : x
  2. Step 2: Convert to fraction form
    571.84/789.12 = 350.80/x
  3. Step 3: Cross multiply
    571.84x = 789.12 × 350.80
  4. Step 4: Simplify right side
    571.84x = 276,823.30
  5. Step 5: Solve for x
    x = 276,823.30/571.84
  6. Step 6: Final answer
    x = 484.09

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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.