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Finding the Fourth Proportional to 721.95, 1,083.61 and 448.57

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Solution

The fourth proportional to 721.95, 1,083.61 and 448.57 is: 673.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.95 : 1,083.61 = 448.57 : x
  2. Step 2: Convert to fraction form
    721.95/1,083.61 = 448.57/x
  3. Step 3: Cross multiply
    721.95x = 1,083.61 × 448.57
  4. Step 4: Simplify right side
    721.95x = 486,072.69
  5. Step 5: Solve for x
    x = 486,072.69/721.95
  6. Step 6: Final answer
    x = 673.28

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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.