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Finding the Fourth Proportional to 463.70, 696.16 and 361.64

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Solution

The fourth proportional to 463.70, 696.16 and 361.64 is: 542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.70 : 696.16 = 361.64 : x
  2. Step 2: Convert to fraction form
    463.70/696.16 = 361.64/x
  3. Step 3: Cross multiply
    463.70x = 696.16 × 361.64
  4. Step 4: Simplify right side
    463.70x = 251,759.30
  5. Step 5: Solve for x
    x = 251,759.30/463.70
  6. Step 6: Final answer
    x = 542.94

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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.