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Finding the Fourth Proportional to 1,192.67, 1,645.82 and 661.53

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Solution

The fourth proportional to 1,192.67, 1,645.82 and 661.53 is: 912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.67 : 1,645.82 = 661.53 : x
  2. Step 2: Convert to fraction form
    1,192.67/1,645.82 = 661.53/x
  3. Step 3: Cross multiply
    1,192.67x = 1,645.82 × 661.53
  4. Step 4: Simplify right side
    1,192.67x = 1,088,760.11
  5. Step 5: Solve for x
    x = 1,088,760.11/1,192.67
  6. Step 6: Final answer
    x = 912.88

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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.