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Finding the Fourth Proportional to 680.40, 1,019 and 332.65

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Solution

The fourth proportional to 680.40, 1,019 and 332.65 is: 498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.40 : 1,019 = 332.65 : x
  2. Step 2: Convert to fraction form
    680.40/1,019 = 332.65/x
  3. Step 3: Cross multiply
    680.40x = 1,019 × 332.65
  4. Step 4: Simplify right side
    680.40x = 338,970.35
  5. Step 5: Solve for x
    x = 338,970.35/680.40
  6. Step 6: Final answer
    x = 498.19

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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.