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Finding the Fourth Proportional to 463.55, 694.25 and 422.54

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Solution

The fourth proportional to 463.55, 694.25 and 422.54 is: 632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.55 : 694.25 = 422.54 : x
  2. Step 2: Convert to fraction form
    463.55/694.25 = 422.54/x
  3. Step 3: Cross multiply
    463.55x = 694.25 × 422.54
  4. Step 4: Simplify right side
    463.55x = 293,342.81
  5. Step 5: Solve for x
    x = 293,342.81/463.55
  6. Step 6: Final answer
    x = 632.82

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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.