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Finding the Fourth Proportional to 721.94, 1,083.10 and 289.22

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Solution

The fourth proportional to 721.94, 1,083.10 and 289.22 is: 433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.94 : 1,083.10 = 289.22 : x
  2. Step 2: Convert to fraction form
    721.94/1,083.10 = 289.22/x
  3. Step 3: Cross multiply
    721.94x = 1,083.10 × 289.22
  4. Step 4: Simplify right side
    721.94x = 313,254.18
  5. Step 5: Solve for x
    x = 313,254.18/721.94
  6. Step 6: Final answer
    x = 433.91

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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.