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Finding the Fourth Proportional to 1,192.71, 1,646 and 661.58

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Solution

The fourth proportional to 1,192.71, 1,646 and 661.58 is: 913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.71 : 1,646 = 661.58 : x
  2. Step 2: Convert to fraction form
    1,192.71/1,646 = 661.58/x
  3. Step 3: Cross multiply
    1,192.71x = 1,646 × 661.58
  4. Step 4: Simplify right side
    1,192.71x = 1,088,960.68
  5. Step 5: Solve for x
    x = 1,088,960.68/1,192.71
  6. Step 6: Final answer
    x = 913.01

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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.