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Finding the Fourth Proportional to 1,072.84, 1,480.49 and 600.78

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Solution

The fourth proportional to 1,072.84, 1,480.49 and 600.78 is: 829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.84 : 1,480.49 = 600.78 : x
  2. Step 2: Convert to fraction form
    1,072.84/1,480.49 = 600.78/x
  3. Step 3: Cross multiply
    1,072.84x = 1,480.49 × 600.78
  4. Step 4: Simplify right side
    1,072.84x = 889,448.78
  5. Step 5: Solve for x
    x = 889,448.78/1,072.84
  6. Step 6: Final answer
    x = 829.06

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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.