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Finding the Fourth Proportional to 876.68, 1,208.95 and 680.12

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Solution

The fourth proportional to 876.68, 1,208.95 and 680.12 is: 937.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.68 : 1,208.95 = 680.12 : x
  2. Step 2: Convert to fraction form
    876.68/1,208.95 = 680.12/x
  3. Step 3: Cross multiply
    876.68x = 1,208.95 × 680.12
  4. Step 4: Simplify right side
    876.68x = 822,223.33
  5. Step 5: Solve for x
    x = 822,223.33/876.68
  6. Step 6: Final answer
    x = 937.89

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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.