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Finding the Fourth Proportional to 680.34, 1,019.98 and 269.26

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Solution

The fourth proportional to 680.34, 1,019.98 and 269.26 is: 403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.34 : 1,019.98 = 269.26 : x
  2. Step 2: Convert to fraction form
    680.34/1,019.98 = 269.26/x
  3. Step 3: Cross multiply
    680.34x = 1,019.98 × 269.26
  4. Step 4: Simplify right side
    680.34x = 274,639.81
  5. Step 5: Solve for x
    x = 274,639.81/680.34
  6. Step 6: Final answer
    x = 403.68

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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.