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Finding the Fourth Proportional to 919.27, 1,376.07 and 686.80

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Solution

The fourth proportional to 919.27, 1,376.07 and 686.80 is: 1,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.27 : 1,376.07 = 686.80 : x
  2. Step 2: Convert to fraction form
    919.27/1,376.07 = 686.80/x
  3. Step 3: Cross multiply
    919.27x = 1,376.07 × 686.80
  4. Step 4: Simplify right side
    919.27x = 945,084.88
  5. Step 5: Solve for x
    x = 945,084.88/919.27
  6. Step 6: Final answer
    x = 1,028.08

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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.