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Finding the Fourth Proportional to 919.30, 1,374.90 and 713.56

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Solution

The fourth proportional to 919.30, 1,374.90 and 713.56 is: 1,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.30 : 1,374.90 = 713.56 : x
  2. Step 2: Convert to fraction form
    919.30/1,374.90 = 713.56/x
  3. Step 3: Cross multiply
    919.30x = 1,374.90 × 713.56
  4. Step 4: Simplify right side
    919.30x = 981,073.64
  5. Step 5: Solve for x
    x = 981,073.64/919.30
  6. Step 6: Final answer
    x = 1,067.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.