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Finding the Fourth Proportional to 764.46, 1,054.83 and 428.31

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Solution

The fourth proportional to 764.46, 1,054.83 and 428.31 is: 591.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.46 : 1,054.83 = 428.31 : x
  2. Step 2: Convert to fraction form
    764.46/1,054.83 = 428.31/x
  3. Step 3: Cross multiply
    764.46x = 1,054.83 × 428.31
  4. Step 4: Simplify right side
    764.46x = 451,794.24
  5. Step 5: Solve for x
    x = 451,794.24/764.46
  6. Step 6: Final answer
    x = 591.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.