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Finding the Fourth Proportional to 1,216.50, 1,673.46 and 1,066.45

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Solution

The fourth proportional to 1,216.50, 1,673.46 and 1,066.45 is: 1,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.50 : 1,673.46 = 1,066.45 : x
  2. Step 2: Convert to fraction form
    1,216.50/1,673.46 = 1,066.45/x
  3. Step 3: Cross multiply
    1,216.50x = 1,673.46 × 1,066.45
  4. Step 4: Simplify right side
    1,216.50x = 1,784,660.37
  5. Step 5: Solve for x
    x = 1,784,660.37/1,216.50
  6. Step 6: Final answer
    x = 1,467.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.