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Finding the Fourth Proportional to 813.44, 1,226.10 and 744.18

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Solution

The fourth proportional to 813.44, 1,226.10 and 744.18 is: 1,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.44 : 1,226.10 = 744.18 : x
  2. Step 2: Convert to fraction form
    813.44/1,226.10 = 744.18/x
  3. Step 3: Cross multiply
    813.44x = 1,226.10 × 744.18
  4. Step 4: Simplify right side
    813.44x = 912,439.10
  5. Step 5: Solve for x
    x = 912,439.10/813.44
  6. Step 6: Final answer
    x = 1,121.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.