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Finding the Fourth Proportional to 600.82, 828.66 and 401.56

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Solution

The fourth proportional to 600.82, 828.66 and 401.56 is: 553.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.82 : 828.66 = 401.56 : x
  2. Step 2: Convert to fraction form
    600.82/828.66 = 401.56/x
  3. Step 3: Cross multiply
    600.82x = 828.66 × 401.56
  4. Step 4: Simplify right side
    600.82x = 332,756.71
  5. Step 5: Solve for x
    x = 332,756.71/600.82
  6. Step 6: Final answer
    x = 553.84

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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.