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Finding the Fourth Proportional to 562.80, 776.76 and 396.84

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Solution

The fourth proportional to 562.80, 776.76 and 396.84 is: 547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.80 : 776.76 = 396.84 : x
  2. Step 2: Convert to fraction form
    562.80/776.76 = 396.84/x
  3. Step 3: Cross multiply
    562.80x = 776.76 × 396.84
  4. Step 4: Simplify right side
    562.80x = 308,249.44
  5. Step 5: Solve for x
    x = 308,249.44/562.80
  6. Step 6: Final answer
    x = 547.71

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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.