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Finding the Fourth Proportional to 463.22, 694.46 and 289.92

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Solution

The fourth proportional to 463.22, 694.46 and 289.92 is: 434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.22 : 694.46 = 289.92 : x
  2. Step 2: Convert to fraction form
    463.22/694.46 = 289.92/x
  3. Step 3: Cross multiply
    463.22x = 694.46 × 289.92
  4. Step 4: Simplify right side
    463.22x = 201,337.84
  5. Step 5: Solve for x
    x = 201,337.84/463.22
  6. Step 6: Final answer
    x = 434.65

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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.