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Finding the Fourth Proportional to 2,770.70, 4,155.94 and 690.70

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Solution

The fourth proportional to 2,770.70, 4,155.94 and 690.70 is: 1,036.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.70 : 4,155.94 = 690.70 : x
  2. Step 2: Convert to fraction form
    2,770.70/4,155.94 = 690.70/x
  3. Step 3: Cross multiply
    2,770.70x = 4,155.94 × 690.70
  4. Step 4: Simplify right side
    2,770.70x = 2,870,507.76
  5. Step 5: Solve for x
    x = 2,870,507.76/2,770.70
  6. Step 6: Final answer
    x = 1,036.02

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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.