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Finding the Fourth Proportional to 2,293.85, 3,440.84 and 650.22

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Solution

The fourth proportional to 2,293.85, 3,440.84 and 650.22 is: 975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.85 : 3,440.84 = 650.22 : x
  2. Step 2: Convert to fraction form
    2,293.85/3,440.84 = 650.22/x
  3. Step 3: Cross multiply
    2,293.85x = 3,440.84 × 650.22
  4. Step 4: Simplify right side
    2,293.85x = 2,237,299.73
  5. Step 5: Solve for x
    x = 2,237,299.73/2,293.85
  6. Step 6: Final answer
    x = 975.35

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1.5x scale

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.