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Finding the Fourth Proportional to 764.45, 1,145.97 and 277.38

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Solution

The fourth proportional to 764.45, 1,145.97 and 277.38 is: 415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.45 : 1,145.97 = 277.38 : x
  2. Step 2: Convert to fraction form
    764.45/1,145.97 = 277.38/x
  3. Step 3: Cross multiply
    764.45x = 1,145.97 × 277.38
  4. Step 4: Simplify right side
    764.45x = 317,869.16
  5. Step 5: Solve for x
    x = 317,869.16/764.45
  6. Step 6: Final answer
    x = 415.82

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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.