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Finding the Fourth Proportional to 1,143.01, 1,716.60 and 1,046.62

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Solution

The fourth proportional to 1,143.01, 1,716.60 and 1,046.62 is: 1,571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.01 : 1,716.60 = 1,046.62 : x
  2. Step 2: Convert to fraction form
    1,143.01/1,716.60 = 1,046.62/x
  3. Step 3: Cross multiply
    1,143.01x = 1,716.60 × 1,046.62
  4. Step 4: Simplify right side
    1,143.01x = 1,796,619.31
  5. Step 5: Solve for x
    x = 1,796,619.31/1,143.01
  6. Step 6: Final answer
    x = 1,571.84

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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.