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Finding the Fourth Proportional to 568.76, 851.98 and 422.68

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Solution

The fourth proportional to 568.76, 851.98 and 422.68 is: 633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.76 : 851.98 = 422.68 : x
  2. Step 2: Convert to fraction form
    568.76/851.98 = 422.68/x
  3. Step 3: Cross multiply
    568.76x = 851.98 × 422.68
  4. Step 4: Simplify right side
    568.76x = 360,114.91
  5. Step 5: Solve for x
    x = 360,114.91/568.76
  6. Step 6: Final answer
    x = 633.16

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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.