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Finding the Fourth Proportional to 1,220.39, 1,684.09 and 696.41

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Solution

The fourth proportional to 1,220.39, 1,684.09 and 696.41 is: 961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.39 : 1,684.09 = 696.41 : x
  2. Step 2: Convert to fraction form
    1,220.39/1,684.09 = 696.41/x
  3. Step 3: Cross multiply
    1,220.39x = 1,684.09 × 696.41
  4. Step 4: Simplify right side
    1,220.39x = 1,172,817.12
  5. Step 5: Solve for x
    x = 1,172,817.12/1,220.39
  6. Step 6: Final answer
    x = 961.02

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1.5x scale

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.