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Finding the Fourth Proportional to 568.41, 784.37 and 381.87

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Solution

The fourth proportional to 568.41, 784.37 and 381.87 is: 526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.41 : 784.37 = 381.87 : x
  2. Step 2: Convert to fraction form
    568.41/784.37 = 381.87/x
  3. Step 3: Cross multiply
    568.41x = 784.37 × 381.87
  4. Step 4: Simplify right side
    568.41x = 299,527.37
  5. Step 5: Solve for x
    x = 299,527.37/568.41
  6. Step 6: Final answer
    x = 526.96

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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.