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Finding the Fourth Proportional to 764.94, 1,054.92 and 484.71

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Solution

The fourth proportional to 764.94, 1,054.92 and 484.71 is: 668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.94 : 1,054.92 = 484.71 : x
  2. Step 2: Convert to fraction form
    764.94/1,054.92 = 484.71/x
  3. Step 3: Cross multiply
    764.94x = 1,054.92 × 484.71
  4. Step 4: Simplify right side
    764.94x = 511,330.27
  5. Step 5: Solve for x
    x = 511,330.27/764.94
  6. Step 6: Final answer
    x = 668.46

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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.