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Finding the Fourth Proportional to 571.84, 789.13 and 323.23

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Solution

The fourth proportional to 571.84, 789.13 and 323.23 is: 446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.84 : 789.13 = 323.23 : x
  2. Step 2: Convert to fraction form
    571.84/789.13 = 323.23/x
  3. Step 3: Cross multiply
    571.84x = 789.13 × 323.23
  4. Step 4: Simplify right side
    571.84x = 255,070.49
  5. Step 5: Solve for x
    x = 255,070.49/571.84
  6. Step 6: Final answer
    x = 446.05

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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.