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Finding the Fourth Proportional to 1,364.22, 2,048.15 and 809.96

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Solution

The fourth proportional to 1,364.22, 2,048.15 and 809.96 is: 1,216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.22 : 2,048.15 = 809.96 : x
  2. Step 2: Convert to fraction form
    1,364.22/2,048.15 = 809.96/x
  3. Step 3: Cross multiply
    1,364.22x = 2,048.15 × 809.96
  4. Step 4: Simplify right side
    1,364.22x = 1,658,905.28
  5. Step 5: Solve for x
    x = 1,658,905.28/1,364.22
  6. Step 6: Final answer
    x = 1,216.01

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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.