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Finding the Fourth Proportional to 919.99, 1,380.52 and 659.71

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Solution

The fourth proportional to 919.99, 1,380.52 and 659.71 is: 989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.99 : 1,380.52 = 659.71 : x
  2. Step 2: Convert to fraction form
    919.99/1,380.52 = 659.71/x
  3. Step 3: Cross multiply
    919.99x = 1,380.52 × 659.71
  4. Step 4: Simplify right side
    919.99x = 910,735.95
  5. Step 5: Solve for x
    x = 910,735.95/919.99
  6. Step 6: Final answer
    x = 989.95

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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.