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Finding the Fourth Proportional to 1,122.80, 1,550.34 and 1,011.84

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Solution

The fourth proportional to 1,122.80, 1,550.34 and 1,011.84 is: 1,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.80 : 1,550.34 = 1,011.84 : x
  2. Step 2: Convert to fraction form
    1,122.80/1,550.34 = 1,011.84/x
  3. Step 3: Cross multiply
    1,122.80x = 1,550.34 × 1,011.84
  4. Step 4: Simplify right side
    1,122.80x = 1,568,696.03
  5. Step 5: Solve for x
    x = 1,568,696.03/1,122.80
  6. Step 6: Final answer
    x = 1,397.13

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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.