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Finding the Fourth Proportional to 665.18, 1,002.78 and 620.60

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Solution

The fourth proportional to 665.18, 1,002.78 and 620.60 is: 935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.18 : 1,002.78 = 620.60 : x
  2. Step 2: Convert to fraction form
    665.18/1,002.78 = 620.60/x
  3. Step 3: Cross multiply
    665.18x = 1,002.78 × 620.60
  4. Step 4: Simplify right side
    665.18x = 622,320.25
  5. Step 5: Solve for x
    x = 622,320.25/665.18
  6. Step 6: Final answer
    x = 935.57

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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.