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Finding the Fourth Proportional to 1,365.27, 2,046.08 and 748.05

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Solution

The fourth proportional to 1,365.27, 2,046.08 and 748.05 is: 1,121.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.27 : 2,046.08 = 748.05 : x
  2. Step 2: Convert to fraction form
    1,365.27/2,046.08 = 748.05/x
  3. Step 3: Cross multiply
    1,365.27x = 2,046.08 × 748.05
  4. Step 4: Simplify right side
    1,365.27x = 1,530,566.40
  5. Step 5: Solve for x
    x = 1,530,566.40/1,365.27
  6. Step 6: Final answer
    x = 1,121.07

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Why These Related Problems?

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