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Finding the Fourth Proportional to 1,124.44, 1,551.06 and 682.12

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Solution

The fourth proportional to 1,124.44, 1,551.06 and 682.12 is: 940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.44 : 1,551.06 = 682.12 : x
  2. Step 2: Convert to fraction form
    1,124.44/1,551.06 = 682.12/x
  3. Step 3: Cross multiply
    1,124.44x = 1,551.06 × 682.12
  4. Step 4: Simplify right side
    1,124.44x = 1,058,009.05
  5. Step 5: Solve for x
    x = 1,058,009.05/1,124.44
  6. Step 6: Final answer
    x = 940.92

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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.