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Finding the Fourth Proportional to 586.38, 809.87 and 399.55

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Solution

The fourth proportional to 586.38, 809.87 and 399.55 is: 551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.38 : 809.87 = 399.55 : x
  2. Step 2: Convert to fraction form
    586.38/809.87 = 399.55/x
  3. Step 3: Cross multiply
    586.38x = 809.87 × 399.55
  4. Step 4: Simplify right side
    586.38x = 323,583.56
  5. Step 5: Solve for x
    x = 323,583.56/586.38
  6. Step 6: Final answer
    x = 551.83

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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.