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Finding the Fourth Proportional to 764.72, 1,146.36 and 422

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Solution

The fourth proportional to 764.72, 1,146.36 and 422 is: 632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.72 : 1,146.36 = 422 : x
  2. Step 2: Convert to fraction form
    764.72/1,146.36 = 422/x
  3. Step 3: Cross multiply
    764.72x = 1,146.36 × 422
  4. Step 4: Simplify right side
    764.72x = 483,763.92
  5. Step 5: Solve for x
    x = 483,763.92/764.72
  6. Step 6: Final answer
    x = 632.60

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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.