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Finding the Fourth Proportional to 1,193.48, 1,646.42 and 773.90

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Solution

The fourth proportional to 1,193.48, 1,646.42 and 773.90 is: 1,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.48 : 1,646.42 = 773.90 : x
  2. Step 2: Convert to fraction form
    1,193.48/1,646.42 = 773.90/x
  3. Step 3: Cross multiply
    1,193.48x = 1,646.42 × 773.90
  4. Step 4: Simplify right side
    1,193.48x = 1,274,164.44
  5. Step 5: Solve for x
    x = 1,274,164.44/1,193.48
  6. Step 6: Final answer
    x = 1,067.60

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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.