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Finding the Fourth Proportional to 764.19, 1,054.63 and 428.12

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Solution

The fourth proportional to 764.19, 1,054.63 and 428.12 is: 590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.19 : 1,054.63 = 428.12 : x
  2. Step 2: Convert to fraction form
    764.19/1,054.63 = 428.12/x
  3. Step 3: Cross multiply
    764.19x = 1,054.63 × 428.12
  4. Step 4: Simplify right side
    764.19x = 451,504.44
  5. Step 5: Solve for x
    x = 451,504.44/764.19
  6. Step 6: Final answer
    x = 590.83

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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.