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Finding the Fourth Proportional to 764.77, 1,147.14 and 187.63

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Solution

The fourth proportional to 764.77, 1,147.14 and 187.63 is: 281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.77 : 1,147.14 = 187.63 : x
  2. Step 2: Convert to fraction form
    764.77/1,147.14 = 187.63/x
  3. Step 3: Cross multiply
    764.77x = 1,147.14 × 187.63
  4. Step 4: Simplify right side
    764.77x = 215,237.88
  5. Step 5: Solve for x
    x = 215,237.88/764.77
  6. Step 6: Final answer
    x = 281.44

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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.