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Finding the Fourth Proportional to 676.18, 1,014.78 and 329.46

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Solution

The fourth proportional to 676.18, 1,014.78 and 329.46 is: 494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.18 : 1,014.78 = 329.46 : x
  2. Step 2: Convert to fraction form
    676.18/1,014.78 = 329.46/x
  3. Step 3: Cross multiply
    676.18x = 1,014.78 × 329.46
  4. Step 4: Simplify right side
    676.18x = 334,329.42
  5. Step 5: Solve for x
    x = 334,329.42/676.18
  6. Step 6: Final answer
    x = 494.44

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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.