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Finding the Fourth Proportional to 764.76, 1,054.44 and 543.54

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Solution

The fourth proportional to 764.76, 1,054.44 and 543.54 is: 749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.76 : 1,054.44 = 543.54 : x
  2. Step 2: Convert to fraction form
    764.76/1,054.44 = 543.54/x
  3. Step 3: Cross multiply
    764.76x = 1,054.44 × 543.54
  4. Step 4: Simplify right side
    764.76x = 573,130.32
  5. Step 5: Solve for x
    x = 573,130.32/764.76
  6. Step 6: Final answer
    x = 749.43

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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.