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Finding the Fourth Proportional to 589.09, 878.23 and 542.85

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Solution

The fourth proportional to 589.09, 878.23 and 542.85 is: 809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.09 : 878.23 = 542.85 : x
  2. Step 2: Convert to fraction form
    589.09/878.23 = 542.85/x
  3. Step 3: Cross multiply
    589.09x = 878.23 × 542.85
  4. Step 4: Simplify right side
    589.09x = 476,744.44
  5. Step 5: Solve for x
    x = 476,744.44/589.09
  6. Step 6: Final answer
    x = 809.29

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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.