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Finding the Fourth Proportional to 644.13, 964.58 and 461.43

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Solution

The fourth proportional to 644.13, 964.58 and 461.43 is: 690.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.13 : 964.58 = 461.43 : x
  2. Step 2: Convert to fraction form
    644.13/964.58 = 461.43/x
  3. Step 3: Cross multiply
    644.13x = 964.58 × 461.43
  4. Step 4: Simplify right side
    644.13x = 445,083.84
  5. Step 5: Solve for x
    x = 445,083.84/644.13
  6. Step 6: Final answer
    x = 690.98

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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.