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Finding the Fourth Proportional to 1,100.41, 1,647.51 and 734.47

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Solution

The fourth proportional to 1,100.41, 1,647.51 and 734.47 is: 1,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.41 : 1,647.51 = 734.47 : x
  2. Step 2: Convert to fraction form
    1,100.41/1,647.51 = 734.47/x
  3. Step 3: Cross multiply
    1,100.41x = 1,647.51 × 734.47
  4. Step 4: Simplify right side
    1,100.41x = 1,210,046.67
  5. Step 5: Solve for x
    x = 1,210,046.67/1,100.41
  6. Step 6: Final answer
    x = 1,099.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.