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Finding the Fourth Proportional to 644.01, 960.67 and 596.76

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Solution

The fourth proportional to 644.01, 960.67 and 596.76 is: 890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.01 : 960.67 = 596.76 : x
  2. Step 2: Convert to fraction form
    644.01/960.67 = 596.76/x
  3. Step 3: Cross multiply
    644.01x = 960.67 × 596.76
  4. Step 4: Simplify right side
    644.01x = 573,289.43
  5. Step 5: Solve for x
    x = 573,289.43/644.01
  6. Step 6: Final answer
    x = 890.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.