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Finding the Fourth Proportional to 676.11, 1,013.69 and 347.15

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Solution

The fourth proportional to 676.11, 1,013.69 and 347.15 is: 520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.11 : 1,013.69 = 347.15 : x
  2. Step 2: Convert to fraction form
    676.11/1,013.69 = 347.15/x
  3. Step 3: Cross multiply
    676.11x = 1,013.69 × 347.15
  4. Step 4: Simplify right side
    676.11x = 351,895.68
  5. Step 5: Solve for x
    x = 351,895.68/676.11
  6. Step 6: Final answer
    x = 520.47

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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.