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Finding the Fourth Proportional to 1,139.92, 1,703.63 and 832.42

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Solution

The fourth proportional to 1,139.92, 1,703.63 and 832.42 is: 1,244.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.92 : 1,703.63 = 832.42 : x
  2. Step 2: Convert to fraction form
    1,139.92/1,703.63 = 832.42/x
  3. Step 3: Cross multiply
    1,139.92x = 1,703.63 × 832.42
  4. Step 4: Simplify right side
    1,139.92x = 1,418,135.68
  5. Step 5: Solve for x
    x = 1,418,135.68/1,139.92
  6. Step 6: Final answer
    x = 1,244.07

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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.