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Finding the Fourth Proportional to 722.98, 1,083.74 and 397.66

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Solution

The fourth proportional to 722.98, 1,083.74 and 397.66 is: 596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.98 : 1,083.74 = 397.66 : x
  2. Step 2: Convert to fraction form
    722.98/1,083.74 = 397.66/x
  3. Step 3: Cross multiply
    722.98x = 1,083.74 × 397.66
  4. Step 4: Simplify right side
    722.98x = 430,960.05
  5. Step 5: Solve for x
    x = 430,960.05/722.98
  6. Step 6: Final answer
    x = 596.09

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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.