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Finding the Fourth Proportional to 1,493.49, 2,240.19 and 520.23

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Solution

The fourth proportional to 1,493.49, 2,240.19 and 520.23 is: 780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.49 : 2,240.19 = 520.23 : x
  2. Step 2: Convert to fraction form
    1,493.49/2,240.19 = 520.23/x
  3. Step 3: Cross multiply
    1,493.49x = 2,240.19 × 520.23
  4. Step 4: Simplify right side
    1,493.49x = 1,165,414.04
  5. Step 5: Solve for x
    x = 1,165,414.04/1,493.49
  6. Step 6: Final answer
    x = 780.33

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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.