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Finding the Fourth Proportional to 665.37, 1,003.06 and 620.79

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Solution

The fourth proportional to 665.37, 1,003.06 and 620.79 is: 935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.37 : 1,003.06 = 620.79 : x
  2. Step 2: Convert to fraction form
    665.37/1,003.06 = 620.79/x
  3. Step 3: Cross multiply
    665.37x = 1,003.06 × 620.79
  4. Step 4: Simplify right side
    665.37x = 622,688.07
  5. Step 5: Solve for x
    x = 622,688.07/665.37
  6. Step 6: Final answer
    x = 935.85

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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.