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Finding the Fourth Proportional to 1,125, 1,552.50 and 682.82

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Solution

The fourth proportional to 1,125, 1,552.50 and 682.82 is: 942.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125 : 1,552.50 = 682.82 : x
  2. Step 2: Convert to fraction form
    1,125/1,552.50 = 682.82/x
  3. Step 3: Cross multiply
    1,125x = 1,552.50 × 682.82
  4. Step 4: Simplify right side
    1,125x = 1,060,076.11
  5. Step 5: Solve for x
    x = 1,060,076.11/1,125
  6. Step 6: Final answer
    x = 942.29

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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.