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Finding the Fourth Proportional to 1,209.24, 1,668.76 and 685.26

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Solution

The fourth proportional to 1,209.24, 1,668.76 and 685.26 is: 945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.24 : 1,668.76 = 685.26 : x
  2. Step 2: Convert to fraction form
    1,209.24/1,668.76 = 685.26/x
  3. Step 3: Cross multiply
    1,209.24x = 1,668.76 × 685.26
  4. Step 4: Simplify right side
    1,209.24x = 1,143,532.76
  5. Step 5: Solve for x
    x = 1,143,532.76/1,209.24
  6. Step 6: Final answer
    x = 945.66

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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.