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Finding the Fourth Proportional to 1,102.11, 1,653.81 and 409.25

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Solution

The fourth proportional to 1,102.11, 1,653.81 and 409.25 is: 614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.11 : 1,653.81 = 409.25 : x
  2. Step 2: Convert to fraction form
    1,102.11/1,653.81 = 409.25/x
  3. Step 3: Cross multiply
    1,102.11x = 1,653.81 × 409.25
  4. Step 4: Simplify right side
    1,102.11x = 676,824.34
  5. Step 5: Solve for x
    x = 676,824.34/1,102.11
  6. Step 6: Final answer
    x = 614.12

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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.