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Finding the Fourth Proportional to 1,012.62, 1,388.30 and 994.17

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Solution

The fourth proportional to 1,012.62, 1,388.30 and 994.17 is: 1,363.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.62 : 1,388.30 = 994.17 : x
  2. Step 2: Convert to fraction form
    1,012.62/1,388.30 = 994.17/x
  3. Step 3: Cross multiply
    1,012.62x = 1,388.30 × 994.17
  4. Step 4: Simplify right side
    1,012.62x = 1,380,201.24
  5. Step 5: Solve for x
    x = 1,380,201.24/1,012.62
  6. Step 6: Final answer
    x = 1,363.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.