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Finding the Fourth Proportional to 833.64, 1,243.61 and 737.43

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Solution

The fourth proportional to 833.64, 1,243.61 and 737.43 is: 1,100.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.64 : 1,243.61 = 737.43 : x
  2. Step 2: Convert to fraction form
    833.64/1,243.61 = 737.43/x
  3. Step 3: Cross multiply
    833.64x = 1,243.61 × 737.43
  4. Step 4: Simplify right side
    833.64x = 917,071.64
  5. Step 5: Solve for x
    x = 917,071.64/833.64
  6. Step 6: Final answer
    x = 1,100.08

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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.