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Finding the Fourth Proportional to 1,375.76, 2,063.64 and 401.87

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Solution

The fourth proportional to 1,375.76, 2,063.64 and 401.87 is: 602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.76 : 2,063.64 = 401.87 : x
  2. Step 2: Convert to fraction form
    1,375.76/2,063.64 = 401.87/x
  3. Step 3: Cross multiply
    1,375.76x = 2,063.64 × 401.87
  4. Step 4: Simplify right side
    1,375.76x = 829,315.01
  5. Step 5: Solve for x
    x = 829,315.01/1,375.76
  6. Step 6: Final answer
    x = 602.81

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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.