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Finding the Fourth Proportional to 663.22, 914.79 and 400.78

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Solution

The fourth proportional to 663.22, 914.79 and 400.78 is: 552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.22 : 914.79 = 400.78 : x
  2. Step 2: Convert to fraction form
    663.22/914.79 = 400.78/x
  3. Step 3: Cross multiply
    663.22x = 914.79 × 400.78
  4. Step 4: Simplify right side
    663.22x = 366,629.54
  5. Step 5: Solve for x
    x = 366,629.54/663.22
  6. Step 6: Final answer
    x = 552.80

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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.