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Finding the Fourth Proportional to 722.11, 1,082.17 and 374.75

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Solution

The fourth proportional to 722.11, 1,082.17 and 374.75 is: 561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.11 : 1,082.17 = 374.75 : x
  2. Step 2: Convert to fraction form
    722.11/1,082.17 = 374.75/x
  3. Step 3: Cross multiply
    722.11x = 1,082.17 × 374.75
  4. Step 4: Simplify right side
    722.11x = 405,543.52
  5. Step 5: Solve for x
    x = 405,543.52/722.11
  6. Step 6: Final answer
    x = 561.61

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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.