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Finding the Fourth Proportional to 572.09, 789.40 and 323.40

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Solution

The fourth proportional to 572.09, 789.40 and 323.40 is: 446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.09 : 789.40 = 323.40 : x
  2. Step 2: Convert to fraction form
    572.09/789.40 = 323.40/x
  3. Step 3: Cross multiply
    572.09x = 789.40 × 323.40
  4. Step 4: Simplify right side
    572.09x = 255,294.39
  5. Step 5: Solve for x
    x = 255,294.39/572.09
  6. Step 6: Final answer
    x = 446.25

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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.