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Finding the Fourth Proportional to 644.78, 964.77 and 384.92

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Solution

The fourth proportional to 644.78, 964.77 and 384.92 is: 575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.78 : 964.77 = 384.92 : x
  2. Step 2: Convert to fraction form
    644.78/964.77 = 384.92/x
  3. Step 3: Cross multiply
    644.78x = 964.77 × 384.92
  4. Step 4: Simplify right side
    644.78x = 371,359.27
  5. Step 5: Solve for x
    x = 371,359.27/644.78
  6. Step 6: Final answer
    x = 575.95

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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.