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Finding the Fourth Proportional to 1,388.41, 2,082.63 and 362.41

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Solution

The fourth proportional to 1,388.41, 2,082.63 and 362.41 is: 543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.41 : 2,082.63 = 362.41 : x
  2. Step 2: Convert to fraction form
    1,388.41/2,082.63 = 362.41/x
  3. Step 3: Cross multiply
    1,388.41x = 2,082.63 × 362.41
  4. Step 4: Simplify right side
    1,388.41x = 754,765.94
  5. Step 5: Solve for x
    x = 754,765.94/1,388.41
  6. Step 6: Final answer
    x = 543.62

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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.