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Finding the Fourth Proportional to 1,102.21, 1,652.81 and 371.59

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Solution

The fourth proportional to 1,102.21, 1,652.81 and 371.59 is: 557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.21 : 1,652.81 = 371.59 : x
  2. Step 2: Convert to fraction form
    1,102.21/1,652.81 = 371.59/x
  3. Step 3: Cross multiply
    1,102.21x = 1,652.81 × 371.59
  4. Step 4: Simplify right side
    1,102.21x = 614,161.68
  5. Step 5: Solve for x
    x = 614,161.68/1,102.21
  6. Step 6: Final answer
    x = 557.21

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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.