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Finding the Fourth Proportional to 1,102.63, 1,650.43 and 614.20

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Solution

The fourth proportional to 1,102.63, 1,650.43 and 614.20 is: 919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.63 : 1,650.43 = 614.20 : x
  2. Step 2: Convert to fraction form
    1,102.63/1,650.43 = 614.20/x
  3. Step 3: Cross multiply
    1,102.63x = 1,650.43 × 614.20
  4. Step 4: Simplify right side
    1,102.63x = 1,013,694.11
  5. Step 5: Solve for x
    x = 1,013,694.11/1,102.63
  6. Step 6: Final answer
    x = 919.34

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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.