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Finding the Fourth Proportional to 1,331.50, 1,837.38 and 833.95

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Solution

The fourth proportional to 1,331.50, 1,837.38 and 833.95 is: 1,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.50 : 1,837.38 = 833.95 : x
  2. Step 2: Convert to fraction form
    1,331.50/1,837.38 = 833.95/x
  3. Step 3: Cross multiply
    1,331.50x = 1,837.38 × 833.95
  4. Step 4: Simplify right side
    1,331.50x = 1,532,283.05
  5. Step 5: Solve for x
    x = 1,532,283.05/1,331.50
  6. Step 6: Final answer
    x = 1,150.79

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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.