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Finding the Fourth Proportional to 1,359.09, 2,039.30 and 537.95

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Solution

The fourth proportional to 1,359.09, 2,039.30 and 537.95 is: 807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.09 : 2,039.30 = 537.95 : x
  2. Step 2: Convert to fraction form
    1,359.09/2,039.30 = 537.95/x
  3. Step 3: Cross multiply
    1,359.09x = 2,039.30 × 537.95
  4. Step 4: Simplify right side
    1,359.09x = 1,097,041.44
  5. Step 5: Solve for x
    x = 1,097,041.44/1,359.09
  6. Step 6: Final answer
    x = 807.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.