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Finding the Fourth Proportional to 1,286.69, 1,775.64 and 697.22

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Solution

The fourth proportional to 1,286.69, 1,775.64 and 697.22 is: 962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.69 : 1,775.64 = 697.22 : x
  2. Step 2: Convert to fraction form
    1,286.69/1,775.64 = 697.22/x
  3. Step 3: Cross multiply
    1,286.69x = 1,775.64 × 697.22
  4. Step 4: Simplify right side
    1,286.69x = 1,238,018.18
  5. Step 5: Solve for x
    x = 1,238,018.18/1,286.69
  6. Step 6: Final answer
    x = 962.18

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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.