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Finding the Fourth Proportional to 568.49, 851.72 and 414.38

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Solution

The fourth proportional to 568.49, 851.72 and 414.38 is: 620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.49 : 851.72 = 414.38 : x
  2. Step 2: Convert to fraction form
    568.49/851.72 = 414.38/x
  3. Step 3: Cross multiply
    568.49x = 851.72 × 414.38
  4. Step 4: Simplify right side
    568.49x = 352,935.79
  5. Step 5: Solve for x
    x = 352,935.79/568.49
  6. Step 6: Final answer
    x = 620.84

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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.