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Finding the Fourth Proportional to 568.11, 851.74 and 259.81

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Solution

The fourth proportional to 568.11, 851.74 and 259.81 is: 389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.11 : 851.74 = 259.81 : x
  2. Step 2: Convert to fraction form
    568.11/851.74 = 259.81/x
  3. Step 3: Cross multiply
    568.11x = 851.74 × 259.81
  4. Step 4: Simplify right side
    568.11x = 221,290.57
  5. Step 5: Solve for x
    x = 221,290.57/568.11
  6. Step 6: Final answer
    x = 389.52

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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.