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Finding the Fourth Proportional to 1,192.17, 1,645.12 and 661.05

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Solution

The fourth proportional to 1,192.17, 1,645.12 and 661.05 is: 912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.17 : 1,645.12 = 661.05 : x
  2. Step 2: Convert to fraction form
    1,192.17/1,645.12 = 661.05/x
  3. Step 3: Cross multiply
    1,192.17x = 1,645.12 × 661.05
  4. Step 4: Simplify right side
    1,192.17x = 1,087,504.12
  5. Step 5: Solve for x
    x = 1,087,504.12/1,192.17
  6. Step 6: Final answer
    x = 912.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.