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Finding the Fourth Proportional to 568.20, 847.29 and 523.32

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Solution

The fourth proportional to 568.20, 847.29 and 523.32 is: 780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.20 : 847.29 = 523.32 : x
  2. Step 2: Convert to fraction form
    568.20/847.29 = 523.32/x
  3. Step 3: Cross multiply
    568.20x = 847.29 × 523.32
  4. Step 4: Simplify right side
    568.20x = 443,403.80
  5. Step 5: Solve for x
    x = 443,403.80/568.20
  6. Step 6: Final answer
    x = 780.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.