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Finding the Fourth Proportional to 463.98, 694.60 and 342.78

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Solution

The fourth proportional to 463.98, 694.60 and 342.78 is: 513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.98 : 694.60 = 342.78 : x
  2. Step 2: Convert to fraction form
    463.98/694.60 = 342.78/x
  3. Step 3: Cross multiply
    463.98x = 694.60 × 342.78
  4. Step 4: Simplify right side
    463.98x = 238,093.27
  5. Step 5: Solve for x
    x = 238,093.27/463.98
  6. Step 6: Final answer
    x = 513.16

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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.