Home / 1,192.05-1,787.33-461.45

Finding the Fourth Proportional to 1,192.05, 1,787.33 and 461.45

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Solution

The fourth proportional to 1,192.05, 1,787.33 and 461.45 is: 691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.05 : 1,787.33 = 461.45 : x
  2. Step 2: Convert to fraction form
    1,192.05/1,787.33 = 461.45/x
  3. Step 3: Cross multiply
    1,192.05x = 1,787.33 × 461.45
  4. Step 4: Simplify right side
    1,192.05x = 824,759.00
  5. Step 5: Solve for x
    x = 824,759.00/1,192.05
  6. Step 6: Final answer
    x = 691.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.