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Finding the Fourth Proportional to 1,845.29, 2,768 and 612.81

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Solution

The fourth proportional to 1,845.29, 2,768 and 612.81 is: 919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.29 : 2,768 = 612.81 : x
  2. Step 2: Convert to fraction form
    1,845.29/2,768 = 612.81/x
  3. Step 3: Cross multiply
    1,845.29x = 2,768 × 612.81
  4. Step 4: Simplify right side
    1,845.29x = 1,696,258.08
  5. Step 5: Solve for x
    x = 1,696,258.08/1,845.29
  6. Step 6: Final answer
    x = 919.24

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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.