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Finding the Fourth Proportional to 568.82, 853.74 and 433.55

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Solution

The fourth proportional to 568.82, 853.74 and 433.55 is: 650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.82 : 853.74 = 433.55 : x
  2. Step 2: Convert to fraction form
    568.82/853.74 = 433.55/x
  3. Step 3: Cross multiply
    568.82x = 853.74 × 433.55
  4. Step 4: Simplify right side
    568.82x = 370,141.11
  5. Step 5: Solve for x
    x = 370,141.11/568.82
  6. Step 6: Final answer
    x = 650.71

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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.