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Finding the Fourth Proportional to 1,100.90, 1,649.66 and 734.38

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Solution

The fourth proportional to 1,100.90, 1,649.66 and 734.38 is: 1,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.90 : 1,649.66 = 734.38 : x
  2. Step 2: Convert to fraction form
    1,100.90/1,649.66 = 734.38/x
  3. Step 3: Cross multiply
    1,100.90x = 1,649.66 × 734.38
  4. Step 4: Simplify right side
    1,100.90x = 1,211,477.31
  5. Step 5: Solve for x
    x = 1,211,477.31/1,100.90
  6. Step 6: Final answer
    x = 1,100.44

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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.