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Finding the Fourth Proportional to 1,137.13, 1,708.82 and 994.30

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Solution

The fourth proportional to 1,137.13, 1,708.82 and 994.30 is: 1,494.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.13 : 1,708.82 = 994.30 : x
  2. Step 2: Convert to fraction form
    1,137.13/1,708.82 = 994.30/x
  3. Step 3: Cross multiply
    1,137.13x = 1,708.82 × 994.30
  4. Step 4: Simplify right side
    1,137.13x = 1,699,079.73
  5. Step 5: Solve for x
    x = 1,699,079.73/1,137.13
  6. Step 6: Final answer
    x = 1,494.18

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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.