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Finding the Fourth Proportional to 1,099.90, 1,641.90 and 935.83

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Solution

The fourth proportional to 1,099.90, 1,641.90 and 935.83 is: 1,396.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.90 : 1,641.90 = 935.83 : x
  2. Step 2: Convert to fraction form
    1,099.90/1,641.90 = 935.83/x
  3. Step 3: Cross multiply
    1,099.90x = 1,641.90 × 935.83
  4. Step 4: Simplify right side
    1,099.90x = 1,536,539.28
  5. Step 5: Solve for x
    x = 1,536,539.28/1,099.90
  6. Step 6: Final answer
    x = 1,396.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.