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Finding the Fourth Proportional to 1,504.64, 2,255.43 and 984.98

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Solution

The fourth proportional to 1,504.64, 2,255.43 and 984.98 is: 1,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.64 : 2,255.43 = 984.98 : x
  2. Step 2: Convert to fraction form
    1,504.64/2,255.43 = 984.98/x
  3. Step 3: Cross multiply
    1,504.64x = 2,255.43 × 984.98
  4. Step 4: Simplify right side
    1,504.64x = 2,221,553.44
  5. Step 5: Solve for x
    x = 2,221,553.44/1,504.64
  6. Step 6: Final answer
    x = 1,476.47

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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.