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Finding the Fourth Proportional to 1,286.74, 1,775.70 and 697.27

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Solution

The fourth proportional to 1,286.74, 1,775.70 and 697.27 is: 962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.74 : 1,775.70 = 697.27 : x
  2. Step 2: Convert to fraction form
    1,286.74/1,775.70 = 697.27/x
  3. Step 3: Cross multiply
    1,286.74x = 1,775.70 × 697.27
  4. Step 4: Simplify right side
    1,286.74x = 1,238,142.34
  5. Step 5: Solve for x
    x = 1,238,142.34/1,286.74
  6. Step 6: Final answer
    x = 962.23

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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.