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Finding the Fourth Proportional to 1,221.63, 1,685.91 and 697.83

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Solution

The fourth proportional to 1,221.63, 1,685.91 and 697.83 is: 963.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.63 : 1,685.91 = 697.83 : x
  2. Step 2: Convert to fraction form
    1,221.63/1,685.91 = 697.83/x
  3. Step 3: Cross multiply
    1,221.63x = 1,685.91 × 697.83
  4. Step 4: Simplify right side
    1,221.63x = 1,176,478.58
  5. Step 5: Solve for x
    x = 1,176,478.58/1,221.63
  6. Step 6: Final answer
    x = 963.04

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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.