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Finding the Fourth Proportional to 568.20, 784.44 and 371.76

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Solution

The fourth proportional to 568.20, 784.44 and 371.76 is: 513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.20 : 784.44 = 371.76 : x
  2. Step 2: Convert to fraction form
    568.20/784.44 = 371.76/x
  3. Step 3: Cross multiply
    568.20x = 784.44 × 371.76
  4. Step 4: Simplify right side
    568.20x = 291,623.41
  5. Step 5: Solve for x
    x = 291,623.41/568.20
  6. Step 6: Final answer
    x = 513.24

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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.