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Finding the Fourth Proportional to 574.42, 856.31 and 565.54

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Solution

The fourth proportional to 574.42, 856.31 and 565.54 is: 843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.42 : 856.31 = 565.54 : x
  2. Step 2: Convert to fraction form
    574.42/856.31 = 565.54/x
  3. Step 3: Cross multiply
    574.42x = 856.31 × 565.54
  4. Step 4: Simplify right side
    574.42x = 484,277.56
  5. Step 5: Solve for x
    x = 484,277.56/574.42
  6. Step 6: Final answer
    x = 843.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.