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Finding the Fourth Proportional to 2,005.33, 3,008.14 and 618.80

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Solution

The fourth proportional to 2,005.33, 3,008.14 and 618.80 is: 928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.33 : 3,008.14 = 618.80 : x
  2. Step 2: Convert to fraction form
    2,005.33/3,008.14 = 618.80/x
  3. Step 3: Cross multiply
    2,005.33x = 3,008.14 × 618.80
  4. Step 4: Simplify right side
    2,005.33x = 1,861,444.55
  5. Step 5: Solve for x
    x = 1,861,444.55/2,005.33
  6. Step 6: Final answer
    x = 928.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.