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Finding the Fourth Proportional to 644.53, 966.78 and 157.58

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Solution

The fourth proportional to 644.53, 966.78 and 157.58 is: 236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.53 : 966.78 = 157.58 : x
  2. Step 2: Convert to fraction form
    644.53/966.78 = 157.58/x
  3. Step 3: Cross multiply
    644.53x = 966.78 × 157.58
  4. Step 4: Simplify right side
    644.53x = 152,345.19
  5. Step 5: Solve for x
    x = 152,345.19/644.53
  6. Step 6: Final answer
    x = 236.37

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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.