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Finding the Fourth Proportional to 645.57, 967.63 and 439.63

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Solution

The fourth proportional to 645.57, 967.63 and 439.63 is: 658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.57 : 967.63 = 439.63 : x
  2. Step 2: Convert to fraction form
    645.57/967.63 = 439.63/x
  3. Step 3: Cross multiply
    645.57x = 967.63 × 439.63
  4. Step 4: Simplify right side
    645.57x = 425,399.18
  5. Step 5: Solve for x
    x = 425,399.18/645.57
  6. Step 6: Final answer
    x = 658.95

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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.