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Finding the Fourth Proportional to 1,126.71, 1,688.04 and 687.73

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Solution

The fourth proportional to 1,126.71, 1,688.04 and 687.73 is: 1,030.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.71 : 1,688.04 = 687.73 : x
  2. Step 2: Convert to fraction form
    1,126.71/1,688.04 = 687.73/x
  3. Step 3: Cross multiply
    1,126.71x = 1,688.04 × 687.73
  4. Step 4: Simplify right side
    1,126.71x = 1,160,912.31
  5. Step 5: Solve for x
    x = 1,160,912.31/1,126.71
  6. Step 6: Final answer
    x = 1,030.36

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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.