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Finding the Fourth Proportional to 586.90, 809.89 and 338.23

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Solution

The fourth proportional to 586.90, 809.89 and 338.23 is: 466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.90 : 809.89 = 338.23 : x
  2. Step 2: Convert to fraction form
    586.90/809.89 = 338.23/x
  3. Step 3: Cross multiply
    586.90x = 809.89 × 338.23
  4. Step 4: Simplify right side
    586.90x = 273,929.09
  5. Step 5: Solve for x
    x = 273,929.09/586.90
  6. Step 6: Final answer
    x = 466.74

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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.