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Finding the Fourth Proportional to 1,331.39, 1,836.54 and 833.15

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Solution

The fourth proportional to 1,331.39, 1,836.54 and 833.15 is: 1,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.39 : 1,836.54 = 833.15 : x
  2. Step 2: Convert to fraction form
    1,331.39/1,836.54 = 833.15/x
  3. Step 3: Cross multiply
    1,331.39x = 1,836.54 × 833.15
  4. Step 4: Simplify right side
    1,331.39x = 1,530,117.89
  5. Step 5: Solve for x
    x = 1,530,117.89/1,331.39
  6. Step 6: Final answer
    x = 1,149.26

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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.