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Finding the Fourth Proportional to 722.45, 1,083.32 and 414.21

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Solution

The fourth proportional to 722.45, 1,083.32 and 414.21 is: 621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.45 : 1,083.32 = 414.21 : x
  2. Step 2: Convert to fraction form
    722.45/1,083.32 = 414.21/x
  3. Step 3: Cross multiply
    722.45x = 1,083.32 × 414.21
  4. Step 4: Simplify right side
    722.45x = 448,727.85
  5. Step 5: Solve for x
    x = 448,727.85/722.45
  6. Step 6: Final answer
    x = 621.12

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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.