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Finding the Fourth Proportional to 1,440.44, 1,986.50 and 998.12

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Solution

The fourth proportional to 1,440.44, 1,986.50 and 998.12 is: 1,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.44 : 1,986.50 = 998.12 : x
  2. Step 2: Convert to fraction form
    1,440.44/1,986.50 = 998.12/x
  3. Step 3: Cross multiply
    1,440.44x = 1,986.50 × 998.12
  4. Step 4: Simplify right side
    1,440.44x = 1,982,765.38
  5. Step 5: Solve for x
    x = 1,982,765.38/1,440.44
  6. Step 6: Final answer
    x = 1,376.50

Related Problems

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Half scale
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Double scale
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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.