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Finding the Fourth Proportional to 1,192.68, 1,645.74 and 661.50

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Solution

The fourth proportional to 1,192.68, 1,645.74 and 661.50 is: 912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.68 : 1,645.74 = 661.50 : x
  2. Step 2: Convert to fraction form
    1,192.68/1,645.74 = 661.50/x
  3. Step 3: Cross multiply
    1,192.68x = 1,645.74 × 661.50
  4. Step 4: Simplify right side
    1,192.68x = 1,088,657.01
  5. Step 5: Solve for x
    x = 1,088,657.01/1,192.68
  6. Step 6: Final answer
    x = 912.78

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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.