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Finding the Fourth Proportional to 1,126.73, 1,687.69 and 639.53

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Solution

The fourth proportional to 1,126.73, 1,687.69 and 639.53 is: 957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.73 : 1,687.69 = 639.53 : x
  2. Step 2: Convert to fraction form
    1,126.73/1,687.69 = 639.53/x
  3. Step 3: Cross multiply
    1,126.73x = 1,687.69 × 639.53
  4. Step 4: Simplify right side
    1,126.73x = 1,079,328.39
  5. Step 5: Solve for x
    x = 1,079,328.39/1,126.73
  6. Step 6: Final answer
    x = 957.93

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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.