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Finding the Fourth Proportional to 764.41, 1,055 and 608.28

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Solution

The fourth proportional to 764.41, 1,055 and 608.28 is: 839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.41 : 1,055 = 608.28 : x
  2. Step 2: Convert to fraction form
    764.41/1,055 = 608.28/x
  3. Step 3: Cross multiply
    764.41x = 1,055 × 608.28
  4. Step 4: Simplify right side
    764.41x = 641,735.40
  5. Step 5: Solve for x
    x = 641,735.40/764.41
  6. Step 6: Final answer
    x = 839.52

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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.