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Finding the Fourth Proportional to 568.91, 853.82 and 414.91

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Solution

The fourth proportional to 568.91, 853.82 and 414.91 is: 622.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.91 : 853.82 = 414.91 : x
  2. Step 2: Convert to fraction form
    568.91/853.82 = 414.91/x
  3. Step 3: Cross multiply
    568.91x = 853.82 × 414.91
  4. Step 4: Simplify right side
    568.91x = 354,258.46
  5. Step 5: Solve for x
    x = 354,258.46/568.91
  6. Step 6: Final answer
    x = 622.70

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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.