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Finding the Fourth Proportional to 1,694.37, 2,541.95 and 770.19

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Solution

The fourth proportional to 1,694.37, 2,541.95 and 770.19 is: 1,155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.37 : 2,541.95 = 770.19 : x
  2. Step 2: Convert to fraction form
    1,694.37/2,541.95 = 770.19/x
  3. Step 3: Cross multiply
    1,694.37x = 2,541.95 × 770.19
  4. Step 4: Simplify right side
    1,694.37x = 1,957,780.62
  5. Step 5: Solve for x
    x = 1,957,780.62/1,694.37
  6. Step 6: Final answer
    x = 1,155.46

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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.