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Finding the Fourth Proportional to 1,080, 1,620 and 1,033.83

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Solution

The fourth proportional to 1,080, 1,620 and 1,033.83 is: 1,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080 : 1,620 = 1,033.83 : x
  2. Step 2: Convert to fraction form
    1,080/1,620 = 1,033.83/x
  3. Step 3: Cross multiply
    1,080x = 1,620 × 1,033.83
  4. Step 4: Simplify right side
    1,080x = 1,674,804.60
  5. Step 5: Solve for x
    x = 1,674,804.60/1,080
  6. Step 6: Final answer
    x = 1,550.75

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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.