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Finding the Fourth Proportional to 644.58, 966.86 and 157.63

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Solution

The fourth proportional to 644.58, 966.86 and 157.63 is: 236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.58 : 966.86 = 157.63 : x
  2. Step 2: Convert to fraction form
    644.58/966.86 = 157.63/x
  3. Step 3: Cross multiply
    644.58x = 966.86 × 157.63
  4. Step 4: Simplify right side
    644.58x = 152,406.14
  5. Step 5: Solve for x
    x = 152,406.14/644.58
  6. Step 6: Final answer
    x = 236.44

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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.