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Finding the Fourth Proportional to 644.86, 964.56 and 384.24

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Solution

The fourth proportional to 644.86, 964.56 and 384.24 is: 574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.86 : 964.56 = 384.24 : x
  2. Step 2: Convert to fraction form
    644.86/964.56 = 384.24/x
  3. Step 3: Cross multiply
    644.86x = 964.56 × 384.24
  4. Step 4: Simplify right side
    644.86x = 370,625.43
  5. Step 5: Solve for x
    x = 370,625.43/644.86
  6. Step 6: Final answer
    x = 574.74

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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.