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Finding the Fourth Proportional to 1,080.63, 1,620.95 and 593.42

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Solution

The fourth proportional to 1,080.63, 1,620.95 and 593.42 is: 890.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.63 : 1,620.95 = 593.42 : x
  2. Step 2: Convert to fraction form
    1,080.63/1,620.95 = 593.42/x
  3. Step 3: Cross multiply
    1,080.63x = 1,620.95 × 593.42
  4. Step 4: Simplify right side
    1,080.63x = 961,896.04
  5. Step 5: Solve for x
    x = 961,896.04/1,080.63
  6. Step 6: Final answer
    x = 890.13

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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.