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Finding the Fourth Proportional to 1,338.30, 2,005.74 and 722.25

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Solution

The fourth proportional to 1,338.30, 2,005.74 and 722.25 is: 1,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.30 : 2,005.74 = 722.25 : x
  2. Step 2: Convert to fraction form
    1,338.30/2,005.74 = 722.25/x
  3. Step 3: Cross multiply
    1,338.30x = 2,005.74 × 722.25
  4. Step 4: Simplify right side
    1,338.30x = 1,448,645.72
  5. Step 5: Solve for x
    x = 1,448,645.72/1,338.30
  6. Step 6: Final answer
    x = 1,082.45

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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.