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Finding the Fourth Proportional to 1,344, 2,014.74 and 1,020.78

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Solution

The fourth proportional to 1,344, 2,014.74 and 1,020.78 is: 1,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344 : 2,014.74 = 1,020.78 : x
  2. Step 2: Convert to fraction form
    1,344/2,014.74 = 1,020.78/x
  3. Step 3: Cross multiply
    1,344x = 2,014.74 × 1,020.78
  4. Step 4: Simplify right side
    1,344x = 2,056,606.30
  5. Step 5: Solve for x
    x = 2,056,606.30/1,344
  6. Step 6: Final answer
    x = 1,530.21

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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.