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Finding the Fourth Proportional to 665.35, 1,003.01 and 620.75

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Solution

The fourth proportional to 665.35, 1,003.01 and 620.75 is: 935.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.35 : 1,003.01 = 620.75 : x
  2. Step 2: Convert to fraction form
    665.35/1,003.01 = 620.75/x
  3. Step 3: Cross multiply
    665.35x = 1,003.01 × 620.75
  4. Step 4: Simplify right side
    665.35x = 622,610.34
  5. Step 5: Solve for x
    x = 622,610.34/665.35
  6. Step 6: Final answer
    x = 935.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.