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Finding the Fourth Proportional to 568.38, 783.63 and 371.82

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Solution

The fourth proportional to 568.38, 783.63 and 371.82 is: 512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.38 : 783.63 = 371.82 : x
  2. Step 2: Convert to fraction form
    568.38/783.63 = 371.82/x
  3. Step 3: Cross multiply
    568.38x = 783.63 × 371.82
  4. Step 4: Simplify right side
    568.38x = 291,369.31
  5. Step 5: Solve for x
    x = 291,369.31/568.38
  6. Step 6: Final answer
    x = 512.63

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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.