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Finding the Fourth Proportional to 680.91, 1,016.37 and 623.20

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Solution

The fourth proportional to 680.91, 1,016.37 and 623.20 is: 930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.91 : 1,016.37 = 623.20 : x
  2. Step 2: Convert to fraction form
    680.91/1,016.37 = 623.20/x
  3. Step 3: Cross multiply
    680.91x = 1,016.37 × 623.20
  4. Step 4: Simplify right side
    680.91x = 633,396.91
  5. Step 5: Solve for x
    x = 633,396.91/680.91
  6. Step 6: Final answer
    x = 930.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.