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Finding the Fourth Proportional to 568.67, 853.91 and 429.85

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Solution

The fourth proportional to 568.67, 853.91 and 429.85 is: 645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.67 : 853.91 = 429.85 : x
  2. Step 2: Convert to fraction form
    568.67/853.91 = 429.85/x
  3. Step 3: Cross multiply
    568.67x = 853.91 × 429.85
  4. Step 4: Simplify right side
    568.67x = 367,053.74
  5. Step 5: Solve for x
    x = 367,053.74/568.67
  6. Step 6: Final answer
    x = 645.47

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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.