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Finding the Fourth Proportional to 676.68, 1,014.54 and 346.97

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Solution

The fourth proportional to 676.68, 1,014.54 and 346.97 is: 520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.68 : 1,014.54 = 346.97 : x
  2. Step 2: Convert to fraction form
    676.68/1,014.54 = 346.97/x
  3. Step 3: Cross multiply
    676.68x = 1,014.54 × 346.97
  4. Step 4: Simplify right side
    676.68x = 352,014.94
  5. Step 5: Solve for x
    x = 352,014.94/676.68
  6. Step 6: Final answer
    x = 520.21

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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.