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Finding the Fourth Proportional to 764.21, 1,146.32 and 187.09

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Solution

The fourth proportional to 764.21, 1,146.32 and 187.09 is: 280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.21 : 1,146.32 = 187.09 : x
  2. Step 2: Convert to fraction form
    764.21/1,146.32 = 187.09/x
  3. Step 3: Cross multiply
    764.21x = 1,146.32 × 187.09
  4. Step 4: Simplify right side
    764.21x = 214,459.28
  5. Step 5: Solve for x
    x = 214,459.28/764.21
  6. Step 6: Final answer
    x = 280.63

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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.