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Finding the Fourth Proportional to 1,286.71, 1,775.65 and 697.24

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Solution

The fourth proportional to 1,286.71, 1,775.65 and 697.24 is: 962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.71 : 1,775.65 = 697.24 : x
  2. Step 2: Convert to fraction form
    1,286.71/1,775.65 = 697.24/x
  3. Step 3: Cross multiply
    1,286.71x = 1,775.65 × 697.24
  4. Step 4: Simplify right side
    1,286.71x = 1,238,054.21
  5. Step 5: Solve for x
    x = 1,238,054.21/1,286.71
  6. Step 6: Final answer
    x = 962.19

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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.