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Finding the Fourth Proportional to 722.38, 1,081.61 and 374.98

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Solution

The fourth proportional to 722.38, 1,081.61 and 374.98 is: 561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.38 : 1,081.61 = 374.98 : x
  2. Step 2: Convert to fraction form
    722.38/1,081.61 = 374.98/x
  3. Step 3: Cross multiply
    722.38x = 1,081.61 × 374.98
  4. Step 4: Simplify right side
    722.38x = 405,585.01
  5. Step 5: Solve for x
    x = 405,585.01/722.38
  6. Step 6: Final answer
    x = 561.46

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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.