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Finding the Fourth Proportional to 572.78, 860.33 and 342.12

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Solution

The fourth proportional to 572.78, 860.33 and 342.12 is: 513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.78 : 860.33 = 342.12 : x
  2. Step 2: Convert to fraction form
    572.78/860.33 = 342.12/x
  3. Step 3: Cross multiply
    572.78x = 860.33 × 342.12
  4. Step 4: Simplify right side
    572.78x = 294,334.39
  5. Step 5: Solve for x
    x = 294,334.39/572.78
  6. Step 6: Final answer
    x = 513.87

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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.