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Finding the Fourth Proportional to 1,052.90, 1,453.47 and 773.18

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Solution

The fourth proportional to 1,052.90, 1,453.47 and 773.18 is: 1,067.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.90 : 1,453.47 = 773.18 : x
  2. Step 2: Convert to fraction form
    1,052.90/1,453.47 = 773.18/x
  3. Step 3: Cross multiply
    1,052.90x = 1,453.47 × 773.18
  4. Step 4: Simplify right side
    1,052.90x = 1,123,793.93
  5. Step 5: Solve for x
    x = 1,123,793.93/1,052.90
  6. Step 6: Final answer
    x = 1,067.33

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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.