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Finding the Fourth Proportional to 572.22, 857.13 and 565.74

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Solution

The fourth proportional to 572.22, 857.13 and 565.74 is: 847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.22 : 857.13 = 565.74 : x
  2. Step 2: Convert to fraction form
    572.22/857.13 = 565.74/x
  3. Step 3: Cross multiply
    572.22x = 857.13 × 565.74
  4. Step 4: Simplify right side
    572.22x = 484,912.73
  5. Step 5: Solve for x
    x = 484,912.73/572.22
  6. Step 6: Final answer
    x = 847.42

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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.