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Finding the Fourth Proportional to 833.70, 1,243.44 and 731.64

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Solution

The fourth proportional to 833.70, 1,243.44 and 731.64 is: 1,091.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.70 : 1,243.44 = 731.64 : x
  2. Step 2: Convert to fraction form
    833.70/1,243.44 = 731.64/x
  3. Step 3: Cross multiply
    833.70x = 1,243.44 × 731.64
  4. Step 4: Simplify right side
    833.70x = 909,750.44
  5. Step 5: Solve for x
    x = 909,750.44/833.70
  6. Step 6: Final answer
    x = 1,091.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.