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Finding the Fourth Proportional to 464.14, 694.78 and 347.90

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Solution

The fourth proportional to 464.14, 694.78 and 347.90 is: 520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.14 : 694.78 = 347.90 : x
  2. Step 2: Convert to fraction form
    464.14/694.78 = 347.90/x
  3. Step 3: Cross multiply
    464.14x = 694.78 × 347.90
  4. Step 4: Simplify right side
    464.14x = 241,713.96
  5. Step 5: Solve for x
    x = 241,713.96/464.14
  6. Step 6: Final answer
    x = 520.78

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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.