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Finding the Fourth Proportional to 994.70, 1,372.82 and 596.38

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Solution

The fourth proportional to 994.70, 1,372.82 and 596.38 is: 823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.70 : 1,372.82 = 596.38 : x
  2. Step 2: Convert to fraction form
    994.70/1,372.82 = 596.38/x
  3. Step 3: Cross multiply
    994.70x = 1,372.82 × 596.38
  4. Step 4: Simplify right side
    994.70x = 818,720.45
  5. Step 5: Solve for x
    x = 818,720.45/994.70
  6. Step 6: Final answer
    x = 823.09

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1.5x scale

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.