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Finding the Fourth Proportional to 822.23, 1,233.60 and 513.66

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Solution

The fourth proportional to 822.23, 1,233.60 and 513.66 is: 770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.23 : 1,233.60 = 513.66 : x
  2. Step 2: Convert to fraction form
    822.23/1,233.60 = 513.66/x
  3. Step 3: Cross multiply
    822.23x = 1,233.60 × 513.66
  4. Step 4: Simplify right side
    822.23x = 633,653.67
  5. Step 5: Solve for x
    x = 633,653.67/822.23
  6. Step 6: Final answer
    x = 770.65

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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.