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Finding the Fourth Proportional to 2,231.88, 3,348.48 and 771.18

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Solution

The fourth proportional to 2,231.88, 3,348.48 and 771.18 is: 1,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.88 : 3,348.48 = 771.18 : x
  2. Step 2: Convert to fraction form
    2,231.88/3,348.48 = 771.18/x
  3. Step 3: Cross multiply
    2,231.88x = 3,348.48 × 771.18
  4. Step 4: Simplify right side
    2,231.88x = 2,582,280.81
  5. Step 5: Solve for x
    x = 2,582,280.81/2,231.88
  6. Step 6: Final answer
    x = 1,157.00

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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.