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Finding the Fourth Proportional to 1,255.31, 1,883.18 and 515.09

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Solution

The fourth proportional to 1,255.31, 1,883.18 and 515.09 is: 772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.31 : 1,883.18 = 515.09 : x
  2. Step 2: Convert to fraction form
    1,255.31/1,883.18 = 515.09/x
  3. Step 3: Cross multiply
    1,255.31x = 1,883.18 × 515.09
  4. Step 4: Simplify right side
    1,255.31x = 970,004.61
  5. Step 5: Solve for x
    x = 970,004.61/1,255.31
  6. Step 6: Final answer
    x = 772.72

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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.