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Finding the Fourth Proportional to 919.91, 1,378.90 and 699.93

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Solution

The fourth proportional to 919.91, 1,378.90 and 699.93 is: 1,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.91 : 1,378.90 = 699.93 : x
  2. Step 2: Convert to fraction form
    919.91/1,378.90 = 699.93/x
  3. Step 3: Cross multiply
    919.91x = 1,378.90 × 699.93
  4. Step 4: Simplify right side
    919.91x = 965,133.48
  5. Step 5: Solve for x
    x = 965,133.48/919.91
  6. Step 6: Final answer
    x = 1,049.16

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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.