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Finding the Fourth Proportional to 1,221.91, 1,686.26 and 697.95

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Solution

The fourth proportional to 1,221.91, 1,686.26 and 697.95 is: 963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.91 : 1,686.26 = 697.95 : x
  2. Step 2: Convert to fraction form
    1,221.91/1,686.26 = 697.95/x
  3. Step 3: Cross multiply
    1,221.91x = 1,686.26 × 697.95
  4. Step 4: Simplify right side
    1,221.91x = 1,176,926.91
  5. Step 5: Solve for x
    x = 1,176,926.91/1,221.91
  6. Step 6: Final answer
    x = 963.19

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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.