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Finding the Fourth Proportional to 833.87, 1,249.19 and 448.31

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Solution

The fourth proportional to 833.87, 1,249.19 and 448.31 is: 671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.87 : 1,249.19 = 448.31 : x
  2. Step 2: Convert to fraction form
    833.87/1,249.19 = 448.31/x
  3. Step 3: Cross multiply
    833.87x = 1,249.19 × 448.31
  4. Step 4: Simplify right side
    833.87x = 560,026.93
  5. Step 5: Solve for x
    x = 560,026.93/833.87
  6. Step 6: Final answer
    x = 671.60

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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.