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Finding the Fourth Proportional to 586.78, 809.68 and 338.04

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Solution

The fourth proportional to 586.78, 809.68 and 338.04 is: 466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.78 : 809.68 = 338.04 : x
  2. Step 2: Convert to fraction form
    586.78/809.68 = 338.04/x
  3. Step 3: Cross multiply
    586.78x = 809.68 × 338.04
  4. Step 4: Simplify right side
    586.78x = 273,704.23
  5. Step 5: Solve for x
    x = 273,704.23/586.78
  6. Step 6: Final answer
    x = 466.45

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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.