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Finding the Fourth Proportional to 1,362.63, 2,043.91 and 811.12

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Solution

The fourth proportional to 1,362.63, 2,043.91 and 811.12 is: 1,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.63 : 2,043.91 = 811.12 : x
  2. Step 2: Convert to fraction form
    1,362.63/2,043.91 = 811.12/x
  3. Step 3: Cross multiply
    1,362.63x = 2,043.91 × 811.12
  4. Step 4: Simplify right side
    1,362.63x = 1,657,856.28
  5. Step 5: Solve for x
    x = 1,657,856.28/1,362.63
  6. Step 6: Final answer
    x = 1,216.66

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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.