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Finding the Fourth Proportional to 722.51, 1,083.81 and 289.61

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Solution

The fourth proportional to 722.51, 1,083.81 and 289.61 is: 434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.51 : 1,083.81 = 289.61 : x
  2. Step 2: Convert to fraction form
    722.51/1,083.81 = 289.61/x
  3. Step 3: Cross multiply
    722.51x = 1,083.81 × 289.61
  4. Step 4: Simplify right side
    722.51x = 313,878.42
  5. Step 5: Solve for x
    x = 313,878.42/722.51
  6. Step 6: Final answer
    x = 434.43

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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.