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Finding the Fourth Proportional to 1,221.25, 1,684.93 and 690.07

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Solution

The fourth proportional to 1,221.25, 1,684.93 and 690.07 is: 952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.25 : 1,684.93 = 690.07 : x
  2. Step 2: Convert to fraction form
    1,221.25/1,684.93 = 690.07/x
  3. Step 3: Cross multiply
    1,221.25x = 1,684.93 × 690.07
  4. Step 4: Simplify right side
    1,221.25x = 1,162,716.22
  5. Step 5: Solve for x
    x = 1,162,716.22/1,221.25
  6. Step 6: Final answer
    x = 952.07

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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.