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Finding the Fourth Proportional to 568.17, 783.99 and 371.66

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Solution

The fourth proportional to 568.17, 783.99 and 371.66 is: 512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.17 : 783.99 = 371.66 : x
  2. Step 2: Convert to fraction form
    568.17/783.99 = 371.66/x
  3. Step 3: Cross multiply
    568.17x = 783.99 × 371.66
  4. Step 4: Simplify right side
    568.17x = 291,373.80
  5. Step 5: Solve for x
    x = 291,373.80/568.17
  6. Step 6: Final answer
    x = 512.83

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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.