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Finding the Fourth Proportional to 811.94, 1,223.84 and 742.68

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Solution

The fourth proportional to 811.94, 1,223.84 and 742.68 is: 1,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.94 : 1,223.84 = 742.68 : x
  2. Step 2: Convert to fraction form
    811.94/1,223.84 = 742.68/x
  3. Step 3: Cross multiply
    811.94x = 1,223.84 × 742.68
  4. Step 4: Simplify right side
    811.94x = 908,917.78
  5. Step 5: Solve for x
    x = 908,917.78/811.94
  6. Step 6: Final answer
    x = 1,119.45

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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.