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Finding the Fourth Proportional to 2,289.15, 3,433.74 and 990.63

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Solution

The fourth proportional to 2,289.15, 3,433.74 and 990.63 is: 1,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.15 : 3,433.74 = 990.63 : x
  2. Step 2: Convert to fraction form
    2,289.15/3,433.74 = 990.63/x
  3. Step 3: Cross multiply
    2,289.15x = 3,433.74 × 990.63
  4. Step 4: Simplify right side
    2,289.15x = 3,401,565.86
  5. Step 5: Solve for x
    x = 3,401,565.86/2,289.15
  6. Step 6: Final answer
    x = 1,485.95

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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.