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Finding the Fourth Proportional to 1,375.13, 2,062.63 and 681.53

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Solution

The fourth proportional to 1,375.13, 2,062.63 and 681.53 is: 1,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.13 : 2,062.63 = 681.53 : x
  2. Step 2: Convert to fraction form
    1,375.13/2,062.63 = 681.53/x
  3. Step 3: Cross multiply
    1,375.13x = 2,062.63 × 681.53
  4. Step 4: Simplify right side
    1,375.13x = 1,405,732.21
  5. Step 5: Solve for x
    x = 1,405,732.21/1,375.13
  6. Step 6: Final answer
    x = 1,022.26

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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.