Home / 1,470.27-2,205.41-739.68

Finding the Fourth Proportional to 1,470.27, 2,205.41 and 739.68

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Solution

The fourth proportional to 1,470.27, 2,205.41 and 739.68 is: 1,109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.27 : 2,205.41 = 739.68 : x
  2. Step 2: Convert to fraction form
    1,470.27/2,205.41 = 739.68/x
  3. Step 3: Cross multiply
    1,470.27x = 2,205.41 × 739.68
  4. Step 4: Simplify right side
    1,470.27x = 1,631,293.97
  5. Step 5: Solve for x
    x = 1,631,293.97/1,470.27
  6. Step 6: Final answer
    x = 1,109.52

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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.