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Finding the Fourth Proportional to 1,375.64, 2,062.81 and 401.55

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Solution

The fourth proportional to 1,375.64, 2,062.81 and 401.55 is: 602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.64 : 2,062.81 = 401.55 : x
  2. Step 2: Convert to fraction form
    1,375.64/2,062.81 = 401.55/x
  3. Step 3: Cross multiply
    1,375.64x = 2,062.81 × 401.55
  4. Step 4: Simplify right side
    1,375.64x = 828,321.36
  5. Step 5: Solve for x
    x = 828,321.36/1,375.64
  6. Step 6: Final answer
    x = 602.14

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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.