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Finding the Fourth Proportional to 1,192.63, 1,645.87 and 661.51

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Solution

The fourth proportional to 1,192.63, 1,645.87 and 661.51 is: 912.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.63 : 1,645.87 = 661.51 : x
  2. Step 2: Convert to fraction form
    1,192.63/1,645.87 = 661.51/x
  3. Step 3: Cross multiply
    1,192.63x = 1,645.87 × 661.51
  4. Step 4: Simplify right side
    1,192.63x = 1,088,759.46
  5. Step 5: Solve for x
    x = 1,088,759.46/1,192.63
  6. Step 6: Final answer
    x = 912.91

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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.