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Finding the Fourth Proportional to 680.09, 1,019.88 and 235.24

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Solution

The fourth proportional to 680.09, 1,019.88 and 235.24 is: 352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.09 : 1,019.88 = 235.24 : x
  2. Step 2: Convert to fraction form
    680.09/1,019.88 = 235.24/x
  3. Step 3: Cross multiply
    680.09x = 1,019.88 × 235.24
  4. Step 4: Simplify right side
    680.09x = 239,913.14
  5. Step 5: Solve for x
    x = 239,913.14/680.09
  6. Step 6: Final answer
    x = 352.77

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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.