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Finding the Fourth Proportional to 1,101.54, 1,650.06 and 614.85

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Solution

The fourth proportional to 1,101.54, 1,650.06 and 614.85 is: 921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.54 : 1,650.06 = 614.85 : x
  2. Step 2: Convert to fraction form
    1,101.54/1,650.06 = 614.85/x
  3. Step 3: Cross multiply
    1,101.54x = 1,650.06 × 614.85
  4. Step 4: Simplify right side
    1,101.54x = 1,014,539.39
  5. Step 5: Solve for x
    x = 1,014,539.39/1,101.54
  6. Step 6: Final answer
    x = 921.02

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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.