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Finding the Fourth Proportional to 935.09, 1,290.97 and 620.78

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Solution

The fourth proportional to 935.09, 1,290.97 and 620.78 is: 857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.09 : 1,290.97 = 620.78 : x
  2. Step 2: Convert to fraction form
    935.09/1,290.97 = 620.78/x
  3. Step 3: Cross multiply
    935.09x = 1,290.97 × 620.78
  4. Step 4: Simplify right side
    935.09x = 801,410.03
  5. Step 5: Solve for x
    x = 801,410.03/935.09
  6. Step 6: Final answer
    x = 857.04

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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.