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Finding the Fourth Proportional to 680.68, 1,021.04 and 167.68

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Solution

The fourth proportional to 680.68, 1,021.04 and 167.68 is: 251.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.68 : 1,021.04 = 167.68 : x
  2. Step 2: Convert to fraction form
    680.68/1,021.04 = 167.68/x
  3. Step 3: Cross multiply
    680.68x = 1,021.04 × 167.68
  4. Step 4: Simplify right side
    680.68x = 171,207.99
  5. Step 5: Solve for x
    x = 171,207.99/680.68
  6. Step 6: Final answer
    x = 251.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.