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Finding the Fourth Proportional to 1,053.50, 1,448.97 and 922.28

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Solution

The fourth proportional to 1,053.50, 1,448.97 and 922.28 is: 1,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.50 : 1,448.97 = 922.28 : x
  2. Step 2: Convert to fraction form
    1,053.50/1,448.97 = 922.28/x
  3. Step 3: Cross multiply
    1,053.50x = 1,448.97 × 922.28
  4. Step 4: Simplify right side
    1,053.50x = 1,336,356.05
  5. Step 5: Solve for x
    x = 1,336,356.05/1,053.50
  6. Step 6: Final answer
    x = 1,268.49

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Why These Related Problems?

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