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Finding the Fourth Proportional to 1,221.25, 1,685.33 and 697.29

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Solution

The fourth proportional to 1,221.25, 1,685.33 and 697.29 is: 962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.25 : 1,685.33 = 697.29 : x
  2. Step 2: Convert to fraction form
    1,221.25/1,685.33 = 697.29/x
  3. Step 3: Cross multiply
    1,221.25x = 1,685.33 × 697.29
  4. Step 4: Simplify right side
    1,221.25x = 1,175,163.76
  5. Step 5: Solve for x
    x = 1,175,163.76/1,221.25
  6. Step 6: Final answer
    x = 962.26

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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.