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Finding the Fourth Proportional to 994.63, 1,372.57 and 574.98

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Solution

The fourth proportional to 994.63, 1,372.57 and 574.98 is: 793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.63 : 1,372.57 = 574.98 : x
  2. Step 2: Convert to fraction form
    994.63/1,372.57 = 574.98/x
  3. Step 3: Cross multiply
    994.63x = 1,372.57 × 574.98
  4. Step 4: Simplify right side
    994.63x = 789,200.30
  5. Step 5: Solve for x
    x = 789,200.30/994.63
  6. Step 6: Final answer
    x = 793.46

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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.