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Finding the Fourth Proportional to 697.94, 963.17 and 387.44

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Solution

The fourth proportional to 697.94, 963.17 and 387.44 is: 534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.94 : 963.17 = 387.44 : x
  2. Step 2: Convert to fraction form
    697.94/963.17 = 387.44/x
  3. Step 3: Cross multiply
    697.94x = 963.17 × 387.44
  4. Step 4: Simplify right side
    697.94x = 373,170.58
  5. Step 5: Solve for x
    x = 373,170.58/697.94
  6. Step 6: Final answer
    x = 534.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.