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Finding the Fourth Proportional to 644.16, 964.41 and 448.95

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Solution

The fourth proportional to 644.16, 964.41 and 448.95 is: 672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.16 : 964.41 = 448.95 : x
  2. Step 2: Convert to fraction form
    644.16/964.41 = 448.95/x
  3. Step 3: Cross multiply
    644.16x = 964.41 × 448.95
  4. Step 4: Simplify right side
    644.16x = 432,971.87
  5. Step 5: Solve for x
    x = 432,971.87/644.16
  6. Step 6: Final answer
    x = 672.15

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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.