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Finding the Fourth Proportional to 822.81, 1,233.95 and 274.85

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Solution

The fourth proportional to 822.81, 1,233.95 and 274.85 is: 412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.81 : 1,233.95 = 274.85 : x
  2. Step 2: Convert to fraction form
    822.81/1,233.95 = 274.85/x
  3. Step 3: Cross multiply
    822.81x = 1,233.95 × 274.85
  4. Step 4: Simplify right side
    822.81x = 339,151.16
  5. Step 5: Solve for x
    x = 339,151.16/822.81
  6. Step 6: Final answer
    x = 412.19

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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.