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Finding the Fourth Proportional to 680.48, 1,016.20 and 550.64

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Solution

The fourth proportional to 680.48, 1,016.20 and 550.64 is: 822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.48 : 1,016.20 = 550.64 : x
  2. Step 2: Convert to fraction form
    680.48/1,016.20 = 550.64/x
  3. Step 3: Cross multiply
    680.48x = 1,016.20 × 550.64
  4. Step 4: Simplify right side
    680.48x = 559,560.37
  5. Step 5: Solve for x
    x = 559,560.37/680.48
  6. Step 6: Final answer
    x = 822.30

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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.