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Finding the Fourth Proportional to 568.50, 850.91 and 294.21

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Solution

The fourth proportional to 568.50, 850.91 and 294.21 is: 440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.50 : 850.91 = 294.21 : x
  2. Step 2: Convert to fraction form
    568.50/850.91 = 294.21/x
  3. Step 3: Cross multiply
    568.50x = 850.91 × 294.21
  4. Step 4: Simplify right side
    568.50x = 250,346.23
  5. Step 5: Solve for x
    x = 250,346.23/568.50
  6. Step 6: Final answer
    x = 440.36

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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.