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Finding the Fourth Proportional to 764.42, 1,146.63 and 394.15

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Solution

The fourth proportional to 764.42, 1,146.63 and 394.15 is: 591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.42 : 1,146.63 = 394.15 : x
  2. Step 2: Convert to fraction form
    764.42/1,146.63 = 394.15/x
  3. Step 3: Cross multiply
    764.42x = 1,146.63 × 394.15
  4. Step 4: Simplify right side
    764.42x = 451,936.51
  5. Step 5: Solve for x
    x = 451,936.51/764.42
  6. Step 6: Final answer
    x = 591.22

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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.