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Finding the Fourth Proportional to 1,274.39, 1,759.43 and 833.03

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Solution

The fourth proportional to 1,274.39, 1,759.43 and 833.03 is: 1,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.39 : 1,759.43 = 833.03 : x
  2. Step 2: Convert to fraction form
    1,274.39/1,759.43 = 833.03/x
  3. Step 3: Cross multiply
    1,274.39x = 1,759.43 × 833.03
  4. Step 4: Simplify right side
    1,274.39x = 1,465,653.81
  5. Step 5: Solve for x
    x = 1,465,653.81/1,274.39
  6. Step 6: Final answer
    x = 1,150.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.