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Finding the Fourth Proportional to 822.12, 1,233.56 and 335.56

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Solution

The fourth proportional to 822.12, 1,233.56 and 335.56 is: 503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.12 : 1,233.56 = 335.56 : x
  2. Step 2: Convert to fraction form
    822.12/1,233.56 = 335.56/x
  3. Step 3: Cross multiply
    822.12x = 1,233.56 × 335.56
  4. Step 4: Simplify right side
    822.12x = 413,933.39
  5. Step 5: Solve for x
    x = 413,933.39/822.12
  6. Step 6: Final answer
    x = 503.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.