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Finding the Fourth Proportional to 1,361.77, 2,043.17 and 540.63

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Solution

The fourth proportional to 1,361.77, 2,043.17 and 540.63 is: 811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.77 : 2,043.17 = 540.63 : x
  2. Step 2: Convert to fraction form
    1,361.77/2,043.17 = 540.63/x
  3. Step 3: Cross multiply
    1,361.77x = 2,043.17 × 540.63
  4. Step 4: Simplify right side
    1,361.77x = 1,104,599.00
  5. Step 5: Solve for x
    x = 1,104,599.00/1,361.77
  6. Step 6: Final answer
    x = 811.15

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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.