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Finding the Fourth Proportional to 1,905.16, 2,858.28 and 809.68

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Solution

The fourth proportional to 1,905.16, 2,858.28 and 809.68 is: 1,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.16 : 2,858.28 = 809.68 : x
  2. Step 2: Convert to fraction form
    1,905.16/2,858.28 = 809.68/x
  3. Step 3: Cross multiply
    1,905.16x = 2,858.28 × 809.68
  4. Step 4: Simplify right side
    1,905.16x = 2,314,292.15
  5. Step 5: Solve for x
    x = 2,314,292.15/1,905.16
  6. Step 6: Final answer
    x = 1,214.75

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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.