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Finding the Fourth Proportional to 1,254.97, 1,882.44 and 561.46

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Solution

The fourth proportional to 1,254.97, 1,882.44 and 561.46 is: 842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.97 : 1,882.44 = 561.46 : x
  2. Step 2: Convert to fraction form
    1,254.97/1,882.44 = 561.46/x
  3. Step 3: Cross multiply
    1,254.97x = 1,882.44 × 561.46
  4. Step 4: Simplify right side
    1,254.97x = 1,056,914.76
  5. Step 5: Solve for x
    x = 1,056,914.76/1,254.97
  6. Step 6: Final answer
    x = 842.18

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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.