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Finding the Fourth Proportional to 1,243.56, 1,714.20 and 911.52

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Solution

The fourth proportional to 1,243.56, 1,714.20 and 911.52 is: 1,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.56 : 1,714.20 = 911.52 : x
  2. Step 2: Convert to fraction form
    1,243.56/1,714.20 = 911.52/x
  3. Step 3: Cross multiply
    1,243.56x = 1,714.20 × 911.52
  4. Step 4: Simplify right side
    1,243.56x = 1,562,527.58
  5. Step 5: Solve for x
    x = 1,562,527.58/1,243.56
  6. Step 6: Final answer
    x = 1,256.50

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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.