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Finding the Fourth Proportional to 568.52, 850.95 and 447.02

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Solution

The fourth proportional to 568.52, 850.95 and 447.02 is: 669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.52 : 850.95 = 447.02 : x
  2. Step 2: Convert to fraction form
    568.52/850.95 = 447.02/x
  3. Step 3: Cross multiply
    568.52x = 850.95 × 447.02
  4. Step 4: Simplify right side
    568.52x = 380,387.41
  5. Step 5: Solve for x
    x = 380,387.41/568.52
  6. Step 6: Final answer
    x = 669.09

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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.