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Finding the Fourth Proportional to 589.56, 878.67 and 574.20

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Solution

The fourth proportional to 589.56, 878.67 and 574.20 is: 855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.56 : 878.67 = 574.20 : x
  2. Step 2: Convert to fraction form
    589.56/878.67 = 574.20/x
  3. Step 3: Cross multiply
    589.56x = 878.67 × 574.20
  4. Step 4: Simplify right side
    589.56x = 504,532.31
  5. Step 5: Solve for x
    x = 504,532.31/589.56
  6. Step 6: Final answer
    x = 855.78

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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.