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Finding the Fourth Proportional to 1,080.83, 1,491.26 and 782.34

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Solution

The fourth proportional to 1,080.83, 1,491.26 and 782.34 is: 1,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.83 : 1,491.26 = 782.34 : x
  2. Step 2: Convert to fraction form
    1,080.83/1,491.26 = 782.34/x
  3. Step 3: Cross multiply
    1,080.83x = 1,491.26 × 782.34
  4. Step 4: Simplify right side
    1,080.83x = 1,166,668.44
  5. Step 5: Solve for x
    x = 1,166,668.44/1,080.83
  6. Step 6: Final answer
    x = 1,079.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.