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Finding the Fourth Proportional to 984.40, 1,476.20 and 779.47

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Solution

The fourth proportional to 984.40, 1,476.20 and 779.47 is: 1,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.40 : 1,476.20 = 779.47 : x
  2. Step 2: Convert to fraction form
    984.40/1,476.20 = 779.47/x
  3. Step 3: Cross multiply
    984.40x = 1,476.20 × 779.47
  4. Step 4: Simplify right side
    984.40x = 1,150,649.72
  5. Step 5: Solve for x
    x = 1,150,649.72/984.40
  6. Step 6: Final answer
    x = 1,168.88

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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.