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Finding the Fourth Proportional to 568.02, 850.88 and 538.50

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Solution

The fourth proportional to 568.02, 850.88 and 538.50 is: 806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.02 : 850.88 = 538.50 : x
  2. Step 2: Convert to fraction form
    568.02/850.88 = 538.50/x
  3. Step 3: Cross multiply
    568.02x = 850.88 × 538.50
  4. Step 4: Simplify right side
    568.02x = 458,198.88
  5. Step 5: Solve for x
    x = 458,198.88/568.02
  6. Step 6: Final answer
    x = 806.66

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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.