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Finding the Fourth Proportional to 1,122, 1,548.52 and 1,072.80

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Solution

The fourth proportional to 1,122, 1,548.52 and 1,072.80 is: 1,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122 : 1,548.52 = 1,072.80 : x
  2. Step 2: Convert to fraction form
    1,122/1,548.52 = 1,072.80/x
  3. Step 3: Cross multiply
    1,122x = 1,548.52 × 1,072.80
  4. Step 4: Simplify right side
    1,122x = 1,661,252.26
  5. Step 5: Solve for x
    x = 1,661,252.26/1,122
  6. Step 6: Final answer
    x = 1,480.62

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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.