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Finding the Fourth Proportional to 1,208.96, 1,668.39 and 685.04

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Solution

The fourth proportional to 1,208.96, 1,668.39 and 685.04 is: 945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.96 : 1,668.39 = 685.04 : x
  2. Step 2: Convert to fraction form
    1,208.96/1,668.39 = 685.04/x
  3. Step 3: Cross multiply
    1,208.96x = 1,668.39 × 685.04
  4. Step 4: Simplify right side
    1,208.96x = 1,142,913.89
  5. Step 5: Solve for x
    x = 1,142,913.89/1,208.96
  6. Step 6: Final answer
    x = 945.37

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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.