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Finding the Fourth Proportional to 570.73, 856.21 and 205.52

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Solution

The fourth proportional to 570.73, 856.21 and 205.52 is: 308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.73 : 856.21 = 205.52 : x
  2. Step 2: Convert to fraction form
    570.73/856.21 = 205.52/x
  3. Step 3: Cross multiply
    570.73x = 856.21 × 205.52
  4. Step 4: Simplify right side
    570.73x = 175,965.62
  5. Step 5: Solve for x
    x = 175,965.62/570.73
  6. Step 6: Final answer
    x = 308.32

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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.