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Finding the Fourth Proportional to 764.11, 1,054.38 and 484.48

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Solution

The fourth proportional to 764.11, 1,054.38 and 484.48 is: 668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.11 : 1,054.38 = 484.48 : x
  2. Step 2: Convert to fraction form
    764.11/1,054.38 = 484.48/x
  3. Step 3: Cross multiply
    764.11x = 1,054.38 × 484.48
  4. Step 4: Simplify right side
    764.11x = 510,826.02
  5. Step 5: Solve for x
    x = 510,826.02/764.11
  6. Step 6: Final answer
    x = 668.52

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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.