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Finding the Fourth Proportional to 679.63, 1,019.45 and 166.63

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Solution

The fourth proportional to 679.63, 1,019.45 and 166.63 is: 249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.63 : 1,019.45 = 166.63 : x
  2. Step 2: Convert to fraction form
    679.63/1,019.45 = 166.63/x
  3. Step 3: Cross multiply
    679.63x = 1,019.45 × 166.63
  4. Step 4: Simplify right side
    679.63x = 169,865.02
  5. Step 5: Solve for x
    x = 169,865.02/679.63
  6. Step 6: Final answer
    x = 249.94

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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.