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Finding the Fourth Proportional to 1,049.90, 1,448.86 and 584.15

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Solution

The fourth proportional to 1,049.90, 1,448.86 and 584.15 is: 806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.90 : 1,448.86 = 584.15 : x
  2. Step 2: Convert to fraction form
    1,049.90/1,448.86 = 584.15/x
  3. Step 3: Cross multiply
    1,049.90x = 1,448.86 × 584.15
  4. Step 4: Simplify right side
    1,049.90x = 846,351.57
  5. Step 5: Solve for x
    x = 846,351.57/1,049.90
  6. Step 6: Final answer
    x = 806.13

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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.