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Finding the Fourth Proportional to 1,974.40, 2,961.56 and 606.40

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Solution

The fourth proportional to 1,974.40, 2,961.56 and 606.40 is: 909.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.40 : 2,961.56 = 606.40 : x
  2. Step 2: Convert to fraction form
    1,974.40/2,961.56 = 606.40/x
  3. Step 3: Cross multiply
    1,974.40x = 2,961.56 × 606.40
  4. Step 4: Simplify right side
    1,974.40x = 1,795,889.98
  5. Step 5: Solve for x
    x = 1,795,889.98/1,974.40
  6. Step 6: Final answer
    x = 909.59

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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.