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Finding the Fourth Proportional to 1,100.18, 1,650.45 and 359.57

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Solution

The fourth proportional to 1,100.18, 1,650.45 and 359.57 is: 539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.18 : 1,650.45 = 359.57 : x
  2. Step 2: Convert to fraction form
    1,100.18/1,650.45 = 359.57/x
  3. Step 3: Cross multiply
    1,100.18x = 1,650.45 × 359.57
  4. Step 4: Simplify right side
    1,100.18x = 593,452.31
  5. Step 5: Solve for x
    x = 593,452.31/1,100.18
  6. Step 6: Final answer
    x = 539.41

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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.