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Finding the Fourth Proportional to 676.70, 1,014.86 and 347.42

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Solution

The fourth proportional to 676.70, 1,014.86 and 347.42 is: 521.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.70 : 1,014.86 = 347.42 : x
  2. Step 2: Convert to fraction form
    676.70/1,014.86 = 347.42/x
  3. Step 3: Cross multiply
    676.70x = 1,014.86 × 347.42
  4. Step 4: Simplify right side
    676.70x = 352,582.66
  5. Step 5: Solve for x
    x = 352,582.66/676.70
  6. Step 6: Final answer
    x = 521.03

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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.