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Finding the Fourth Proportional to 568.20, 781.84 and 513

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Solution

The fourth proportional to 568.20, 781.84 and 513 is: 705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.20 : 781.84 = 513 : x
  2. Step 2: Convert to fraction form
    568.20/781.84 = 513/x
  3. Step 3: Cross multiply
    568.20x = 781.84 × 513
  4. Step 4: Simplify right side
    568.20x = 401,083.92
  5. Step 5: Solve for x
    x = 401,083.92/568.20
  6. Step 6: Final answer
    x = 705.89

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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.