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Finding the Fourth Proportional to 1,254.25, 1,881.44 and 523.09

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Solution

The fourth proportional to 1,254.25, 1,881.44 and 523.09 is: 784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.25 : 1,881.44 = 523.09 : x
  2. Step 2: Convert to fraction form
    1,254.25/1,881.44 = 523.09/x
  3. Step 3: Cross multiply
    1,254.25x = 1,881.44 × 523.09
  4. Step 4: Simplify right side
    1,254.25x = 984,150.43
  5. Step 5: Solve for x
    x = 984,150.43/1,254.25
  6. Step 6: Final answer
    x = 784.66

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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.