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Finding the Fourth Proportional to 1,193.14, 1,646.20 and 773.51

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Solution

The fourth proportional to 1,193.14, 1,646.20 and 773.51 is: 1,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.14 : 1,646.20 = 773.51 : x
  2. Step 2: Convert to fraction form
    1,193.14/1,646.20 = 773.51/x
  3. Step 3: Cross multiply
    1,193.14x = 1,646.20 × 773.51
  4. Step 4: Simplify right side
    1,193.14x = 1,273,351.98
  5. Step 5: Solve for x
    x = 1,273,351.98/1,193.14
  6. Step 6: Final answer
    x = 1,067.23

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1.5x scale

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.