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Finding the Fourth Proportional to 2,242.85, 3,363.05 and 682.38

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Solution

The fourth proportional to 2,242.85, 3,363.05 and 682.38 is: 1,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.85 : 3,363.05 = 682.38 : x
  2. Step 2: Convert to fraction form
    2,242.85/3,363.05 = 682.38/x
  3. Step 3: Cross multiply
    2,242.85x = 3,363.05 × 682.38
  4. Step 4: Simplify right side
    2,242.85x = 2,294,879.76
  5. Step 5: Solve for x
    x = 2,294,879.76/2,242.85
  6. Step 6: Final answer
    x = 1,023.20

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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.