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Finding the Fourth Proportional to 1,127.31, 1,687.64 and 832.86

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Solution

The fourth proportional to 1,127.31, 1,687.64 and 832.86 is: 1,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.31 : 1,687.64 = 832.86 : x
  2. Step 2: Convert to fraction form
    1,127.31/1,687.64 = 832.86/x
  3. Step 3: Cross multiply
    1,127.31x = 1,687.64 × 832.86
  4. Step 4: Simplify right side
    1,127.31x = 1,405,557.36
  5. Step 5: Solve for x
    x = 1,405,557.36/1,127.31
  6. Step 6: Final answer
    x = 1,246.82

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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.