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Finding the Fourth Proportional to 562.97, 776.77 and 326.78

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Solution

The fourth proportional to 562.97, 776.77 and 326.78 is: 450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.97 : 776.77 = 326.78 : x
  2. Step 2: Convert to fraction form
    562.97/776.77 = 326.78/x
  3. Step 3: Cross multiply
    562.97x = 776.77 × 326.78
  4. Step 4: Simplify right side
    562.97x = 253,832.66
  5. Step 5: Solve for x
    x = 253,832.66/562.97
  6. Step 6: Final answer
    x = 450.88

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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.