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Finding the Fourth Proportional to 1,224.56, 1,688.92 and 1,076.88

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Solution

The fourth proportional to 1,224.56, 1,688.92 and 1,076.88 is: 1,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.56 : 1,688.92 = 1,076.88 : x
  2. Step 2: Convert to fraction form
    1,224.56/1,688.92 = 1,076.88/x
  3. Step 3: Cross multiply
    1,224.56x = 1,688.92 × 1,076.88
  4. Step 4: Simplify right side
    1,224.56x = 1,818,764.17
  5. Step 5: Solve for x
    x = 1,818,764.17/1,224.56
  6. Step 6: Final answer
    x = 1,485.24

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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.