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Finding the Fourth Proportional to 589.62, 814.04 and 379.87

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Solution

The fourth proportional to 589.62, 814.04 and 379.87 is: 524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.62 : 814.04 = 379.87 : x
  2. Step 2: Convert to fraction form
    589.62/814.04 = 379.87/x
  3. Step 3: Cross multiply
    589.62x = 814.04 × 379.87
  4. Step 4: Simplify right side
    589.62x = 309,229.37
  5. Step 5: Solve for x
    x = 309,229.37/589.62
  6. Step 6: Final answer
    x = 524.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.