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Finding the Fourth Proportional to 665.13, 1,002.68 and 620.54

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Solution

The fourth proportional to 665.13, 1,002.68 and 620.54 is: 935.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.13 : 1,002.68 = 620.54 : x
  2. Step 2: Convert to fraction form
    665.13/1,002.68 = 620.54/x
  3. Step 3: Cross multiply
    665.13x = 1,002.68 × 620.54
  4. Step 4: Simplify right side
    665.13x = 622,198.03
  5. Step 5: Solve for x
    x = 622,198.03/665.13
  6. Step 6: Final answer
    x = 935.45

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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.