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Finding the Fourth Proportional to 994.86, 1,372.90 and 575.20

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Solution

The fourth proportional to 994.86, 1,372.90 and 575.20 is: 793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.86 : 1,372.90 = 575.20 : x
  2. Step 2: Convert to fraction form
    994.86/1,372.90 = 575.20/x
  3. Step 3: Cross multiply
    994.86x = 1,372.90 × 575.20
  4. Step 4: Simplify right side
    994.86x = 789,692.08
  5. Step 5: Solve for x
    x = 789,692.08/994.86
  6. Step 6: Final answer
    x = 793.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.