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Finding the Fourth Proportional to 644.87, 967.47 and 297.92

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Solution

The fourth proportional to 644.87, 967.47 and 297.92 is: 446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.87 : 967.47 = 297.92 : x
  2. Step 2: Convert to fraction form
    644.87/967.47 = 297.92/x
  3. Step 3: Cross multiply
    644.87x = 967.47 × 297.92
  4. Step 4: Simplify right side
    644.87x = 288,228.66
  5. Step 5: Solve for x
    x = 288,228.66/644.87
  6. Step 6: Final answer
    x = 446.96

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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.