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Finding the Fourth Proportional to 1,080.63, 1,621.60 and 431.31

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Solution

The fourth proportional to 1,080.63, 1,621.60 and 431.31 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.63 : 1,621.60 = 431.31 : x
  2. Step 2: Convert to fraction form
    1,080.63/1,621.60 = 431.31/x
  3. Step 3: Cross multiply
    1,080.63x = 1,621.60 × 431.31
  4. Step 4: Simplify right side
    1,080.63x = 699,412.30
  5. Step 5: Solve for x
    x = 699,412.30/1,080.63
  6. Step 6: Final answer
    x = 647.23

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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.