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Finding the Fourth Proportional to 783.26, 1,080.20 and 650.27

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Solution

The fourth proportional to 783.26, 1,080.20 and 650.27 is: 896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.26 : 1,080.20 = 650.27 : x
  2. Step 2: Convert to fraction form
    783.26/1,080.20 = 650.27/x
  3. Step 3: Cross multiply
    783.26x = 1,080.20 × 650.27
  4. Step 4: Simplify right side
    783.26x = 702,421.65
  5. Step 5: Solve for x
    x = 702,421.65/783.26
  6. Step 6: Final answer
    x = 896.79

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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.