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Finding the Fourth Proportional to 1,221.91, 1,686.25 and 697.94

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Solution

The fourth proportional to 1,221.91, 1,686.25 and 697.94 is: 963.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.91 : 1,686.25 = 697.94 : x
  2. Step 2: Convert to fraction form
    1,221.91/1,686.25 = 697.94/x
  3. Step 3: Cross multiply
    1,221.91x = 1,686.25 × 697.94
  4. Step 4: Simplify right side
    1,221.91x = 1,176,901.33
  5. Step 5: Solve for x
    x = 1,176,901.33/1,221.91
  6. Step 6: Final answer
    x = 963.17

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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.