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Finding the Fourth Proportional to 2,331.07, 3,495.78 and 770.79

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Solution

The fourth proportional to 2,331.07, 3,495.78 and 770.79 is: 1,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.07 : 3,495.78 = 770.79 : x
  2. Step 2: Convert to fraction form
    2,331.07/3,495.78 = 770.79/x
  3. Step 3: Cross multiply
    2,331.07x = 3,495.78 × 770.79
  4. Step 4: Simplify right side
    2,331.07x = 2,694,505.01
  5. Step 5: Solve for x
    x = 2,694,505.01/2,331.07
  6. Step 6: Final answer
    x = 1,155.91

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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.