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Finding the Fourth Proportional to 2,232.57, 3,349.71 and 770.88

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Solution

The fourth proportional to 2,232.57, 3,349.71 and 770.88 is: 1,156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.57 : 3,349.71 = 770.88 : x
  2. Step 2: Convert to fraction form
    2,232.57/3,349.71 = 770.88/x
  3. Step 3: Cross multiply
    2,232.57x = 3,349.71 × 770.88
  4. Step 4: Simplify right side
    2,232.57x = 2,582,224.44
  5. Step 5: Solve for x
    x = 2,582,224.44/2,232.57
  6. Step 6: Final answer
    x = 1,156.62

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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.