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Finding the Fourth Proportional to 816.44, 1,223.42 and 633.38

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Solution

The fourth proportional to 816.44, 1,223.42 and 633.38 is: 949.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.44 : 1,223.42 = 633.38 : x
  2. Step 2: Convert to fraction form
    816.44/1,223.42 = 633.38/x
  3. Step 3: Cross multiply
    816.44x = 1,223.42 × 633.38
  4. Step 4: Simplify right side
    816.44x = 774,889.76
  5. Step 5: Solve for x
    x = 774,889.76/816.44
  6. Step 6: Final answer
    x = 949.11

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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.