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Finding the Fourth Proportional to 764.24, 1,054.62 and 544.12

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Solution

The fourth proportional to 764.24, 1,054.62 and 544.12 is: 750.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.24 : 1,054.62 = 544.12 : x
  2. Step 2: Convert to fraction form
    764.24/1,054.62 = 544.12/x
  3. Step 3: Cross multiply
    764.24x = 1,054.62 × 544.12
  4. Step 4: Simplify right side
    764.24x = 573,837.20
  5. Step 5: Solve for x
    x = 573,837.20/764.24
  6. Step 6: Final answer
    x = 750.86

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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.