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Finding the Fourth Proportional to 676.08, 1,013.75 and 346.88

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Solution

The fourth proportional to 676.08, 1,013.75 and 346.88 is: 520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.08 : 1,013.75 = 346.88 : x
  2. Step 2: Convert to fraction form
    676.08/1,013.75 = 346.88/x
  3. Step 3: Cross multiply
    676.08x = 1,013.75 × 346.88
  4. Step 4: Simplify right side
    676.08x = 351,648.33
  5. Step 5: Solve for x
    x = 351,648.33/676.08
  6. Step 6: Final answer
    x = 520.13

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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.