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Finding the Fourth Proportional to 589.38, 882.84 and 276.56

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Solution

The fourth proportional to 589.38, 882.84 and 276.56 is: 414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.38 : 882.84 = 276.56 : x
  2. Step 2: Convert to fraction form
    589.38/882.84 = 276.56/x
  3. Step 3: Cross multiply
    589.38x = 882.84 × 276.56
  4. Step 4: Simplify right side
    589.38x = 244,158.23
  5. Step 5: Solve for x
    x = 244,158.23/589.38
  6. Step 6: Final answer
    x = 414.26

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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.