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Finding the Fourth Proportional to 1,550.25, 2,139.01 and 920.99

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Solution

The fourth proportional to 1,550.25, 2,139.01 and 920.99 is: 1,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.25 : 2,139.01 = 920.99 : x
  2. Step 2: Convert to fraction form
    1,550.25/2,139.01 = 920.99/x
  3. Step 3: Cross multiply
    1,550.25x = 2,139.01 × 920.99
  4. Step 4: Simplify right side
    1,550.25x = 1,970,003.57
  5. Step 5: Solve for x
    x = 1,970,003.57/1,550.25
  6. Step 6: Final answer
    x = 1,270.77

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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.