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Finding the Fourth Proportional to 919.56, 1,378.53 and 713.82

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Solution

The fourth proportional to 919.56, 1,378.53 and 713.82 is: 1,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.56 : 1,378.53 = 713.82 : x
  2. Step 2: Convert to fraction form
    919.56/1,378.53 = 713.82/x
  3. Step 3: Cross multiply
    919.56x = 1,378.53 × 713.82
  4. Step 4: Simplify right side
    919.56x = 984,022.28
  5. Step 5: Solve for x
    x = 984,022.28/919.56
  6. Step 6: Final answer
    x = 1,070.10

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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.