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Finding the Fourth Proportional to 463.11, 694.05 and 347.07

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Solution

The fourth proportional to 463.11, 694.05 and 347.07 is: 520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.11 : 694.05 = 347.07 : x
  2. Step 2: Convert to fraction form
    463.11/694.05 = 347.07/x
  3. Step 3: Cross multiply
    463.11x = 694.05 × 347.07
  4. Step 4: Simplify right side
    463.11x = 240,883.93
  5. Step 5: Solve for x
    x = 240,883.93/463.11
  6. Step 6: Final answer
    x = 520.14

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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.