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Finding the Fourth Proportional to 568.18, 847.81 and 477.06

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Solution

The fourth proportional to 568.18, 847.81 and 477.06 is: 711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.18 : 847.81 = 477.06 : x
  2. Step 2: Convert to fraction form
    568.18/847.81 = 477.06/x
  3. Step 3: Cross multiply
    568.18x = 847.81 × 477.06
  4. Step 4: Simplify right side
    568.18x = 404,456.24
  5. Step 5: Solve for x
    x = 404,456.24/568.18
  6. Step 6: Final answer
    x = 711.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.