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Finding the Fourth Proportional to 572.22, 858.78 and 280.17

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Solution

The fourth proportional to 572.22, 858.78 and 280.17 is: 420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.22 : 858.78 = 280.17 : x
  2. Step 2: Convert to fraction form
    572.22/858.78 = 280.17/x
  3. Step 3: Cross multiply
    572.22x = 858.78 × 280.17
  4. Step 4: Simplify right side
    572.22x = 240,604.39
  5. Step 5: Solve for x
    x = 240,604.39/572.22
  6. Step 6: Final answer
    x = 420.48

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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.