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Finding the Fourth Proportional to 1,208.75, 1,668.08 and 684.95

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Solution

The fourth proportional to 1,208.75, 1,668.08 and 684.95 is: 945.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.75 : 1,668.08 = 684.95 : x
  2. Step 2: Convert to fraction form
    1,208.75/1,668.08 = 684.95/x
  3. Step 3: Cross multiply
    1,208.75x = 1,668.08 × 684.95
  4. Step 4: Simplify right side
    1,208.75x = 1,142,547.97
  5. Step 5: Solve for x
    x = 1,142,547.97/1,208.75
  6. Step 6: Final answer
    x = 945.23

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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.