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Finding the Fourth Proportional to 568.38, 784.64 and 381.80

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Solution

The fourth proportional to 568.38, 784.64 and 381.80 is: 527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.38 : 784.64 = 381.80 : x
  2. Step 2: Convert to fraction form
    568.38/784.64 = 381.80/x
  3. Step 3: Cross multiply
    568.38x = 784.64 × 381.80
  4. Step 4: Simplify right side
    568.38x = 299,575.55
  5. Step 5: Solve for x
    x = 299,575.55/568.38
  6. Step 6: Final answer
    x = 527.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.