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Finding the Fourth Proportional to 1,200.90, 1,664.81 and 1,135.20

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Solution

The fourth proportional to 1,200.90, 1,664.81 and 1,135.20 is: 1,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.90 : 1,664.81 = 1,135.20 : x
  2. Step 2: Convert to fraction form
    1,200.90/1,664.81 = 1,135.20/x
  3. Step 3: Cross multiply
    1,200.90x = 1,664.81 × 1,135.20
  4. Step 4: Simplify right side
    1,200.90x = 1,889,886.64
  5. Step 5: Solve for x
    x = 1,889,886.64/1,200.90
  6. Step 6: Final answer
    x = 1,573.73

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.