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Finding the Fourth Proportional to 1,255.63, 1,883.46 and 682.15

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Solution

The fourth proportional to 1,255.63, 1,883.46 and 682.15 is: 1,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.63 : 1,883.46 = 682.15 : x
  2. Step 2: Convert to fraction form
    1,255.63/1,883.46 = 682.15/x
  3. Step 3: Cross multiply
    1,255.63x = 1,883.46 × 682.15
  4. Step 4: Simplify right side
    1,255.63x = 1,284,802.24
  5. Step 5: Solve for x
    x = 1,284,802.24/1,255.63
  6. Step 6: Final answer
    x = 1,023.23

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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.