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Finding the Fourth Proportional to 1,192.89, 1,645.36 and 839.55

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Solution

The fourth proportional to 1,192.89, 1,645.36 and 839.55 is: 1,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.89 : 1,645.36 = 839.55 : x
  2. Step 2: Convert to fraction form
    1,192.89/1,645.36 = 839.55/x
  3. Step 3: Cross multiply
    1,192.89x = 1,645.36 × 839.55
  4. Step 4: Simplify right side
    1,192.89x = 1,381,361.99
  5. Step 5: Solve for x
    x = 1,381,361.99/1,192.89
  6. Step 6: Final answer
    x = 1,158.00

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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.