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Finding the Fourth Proportional to 665.39, 1,003.14 and 618.41

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Solution

The fourth proportional to 665.39, 1,003.14 and 618.41 is: 932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.39 : 1,003.14 = 618.41 : x
  2. Step 2: Convert to fraction form
    665.39/1,003.14 = 618.41/x
  3. Step 3: Cross multiply
    665.39x = 1,003.14 × 618.41
  4. Step 4: Simplify right side
    665.39x = 620,349.11
  5. Step 5: Solve for x
    x = 620,349.11/665.39
  6. Step 6: Final answer
    x = 932.32

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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.