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Finding the Fourth Proportional to 764.53, 1,054.72 and 449.66

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Solution

The fourth proportional to 764.53, 1,054.72 and 449.66 is: 620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.53 : 1,054.72 = 449.66 : x
  2. Step 2: Convert to fraction form
    764.53/1,054.72 = 449.66/x
  3. Step 3: Cross multiply
    764.53x = 1,054.72 × 449.66
  4. Step 4: Simplify right side
    764.53x = 474,265.40
  5. Step 5: Solve for x
    x = 474,265.40/764.53
  6. Step 6: Final answer
    x = 620.34

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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.