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Finding the Fourth Proportional to 463.84, 694.22 and 280.34

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Solution

The fourth proportional to 463.84, 694.22 and 280.34 is: 419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.84 : 694.22 = 280.34 : x
  2. Step 2: Convert to fraction form
    463.84/694.22 = 280.34/x
  3. Step 3: Cross multiply
    463.84x = 694.22 × 280.34
  4. Step 4: Simplify right side
    463.84x = 194,614.99
  5. Step 5: Solve for x
    x = 194,614.99/463.84
  6. Step 6: Final answer
    x = 419.57

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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.