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Finding the Fourth Proportional to 2,255.39, 3,382.91 and 612.10

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Solution

The fourth proportional to 2,255.39, 3,382.91 and 612.10 is: 918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.39 : 3,382.91 = 612.10 : x
  2. Step 2: Convert to fraction form
    2,255.39/3,382.91 = 612.10/x
  3. Step 3: Cross multiply
    2,255.39x = 3,382.91 × 612.10
  4. Step 4: Simplify right side
    2,255.39x = 2,070,679.21
  5. Step 5: Solve for x
    x = 2,070,679.21/2,255.39
  6. Step 6: Final answer
    x = 918.10

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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.