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Finding the Fourth Proportional to 680.29, 1,019.65 and 309.54

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Solution

The fourth proportional to 680.29, 1,019.65 and 309.54 is: 463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.29 : 1,019.65 = 309.54 : x
  2. Step 2: Convert to fraction form
    680.29/1,019.65 = 309.54/x
  3. Step 3: Cross multiply
    680.29x = 1,019.65 × 309.54
  4. Step 4: Simplify right side
    680.29x = 315,625.78
  5. Step 5: Solve for x
    x = 315,625.78/680.29
  6. Step 6: Final answer
    x = 463.96

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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.