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Finding the Fourth Proportional to 1,192.28, 1,787.77 and 370.33

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Solution

The fourth proportional to 1,192.28, 1,787.77 and 370.33 is: 555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.28 : 1,787.77 = 370.33 : x
  2. Step 2: Convert to fraction form
    1,192.28/1,787.77 = 370.33/x
  3. Step 3: Cross multiply
    1,192.28x = 1,787.77 × 370.33
  4. Step 4: Simplify right side
    1,192.28x = 662,054.07
  5. Step 5: Solve for x
    x = 662,054.07/1,192.28
  6. Step 6: Final answer
    x = 555.28

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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.