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Finding the Fourth Proportional to 1,076.14, 1,614.44 and 614.14

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Solution

The fourth proportional to 1,076.14, 1,614.44 and 614.14 is: 921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.14 : 1,614.44 = 614.14 : x
  2. Step 2: Convert to fraction form
    1,076.14/1,614.44 = 614.14/x
  3. Step 3: Cross multiply
    1,076.14x = 1,614.44 × 614.14
  4. Step 4: Simplify right side
    1,076.14x = 991,492.18
  5. Step 5: Solve for x
    x = 991,492.18/1,076.14
  6. Step 6: Final answer
    x = 921.34

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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.