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Finding the Fourth Proportional to 570.87, 856.31 and 205.66

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Solution

The fourth proportional to 570.87, 856.31 and 205.66 is: 308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.87 : 856.31 = 205.66 : x
  2. Step 2: Convert to fraction form
    570.87/856.31 = 205.66/x
  3. Step 3: Cross multiply
    570.87x = 856.31 × 205.66
  4. Step 4: Simplify right side
    570.87x = 176,108.42
  5. Step 5: Solve for x
    x = 176,108.42/570.87
  6. Step 6: Final answer
    x = 308.49

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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.