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Finding the Fourth Proportional to 1,333.30, 1,997.50 and 921.28

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Solution

The fourth proportional to 1,333.30, 1,997.50 and 921.28 is: 1,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.30 : 1,997.50 = 921.28 : x
  2. Step 2: Convert to fraction form
    1,333.30/1,997.50 = 921.28/x
  3. Step 3: Cross multiply
    1,333.30x = 1,997.50 × 921.28
  4. Step 4: Simplify right side
    1,333.30x = 1,840,256.80
  5. Step 5: Solve for x
    x = 1,840,256.80/1,333.30
  6. Step 6: Final answer
    x = 1,380.23

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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.