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Finding the Fourth Proportional to 2,440.98, 3,660.37 and 774.63

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Solution

The fourth proportional to 2,440.98, 3,660.37 and 774.63 is: 1,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.98 : 3,660.37 = 774.63 : x
  2. Step 2: Convert to fraction form
    2,440.98/3,660.37 = 774.63/x
  3. Step 3: Cross multiply
    2,440.98x = 3,660.37 × 774.63
  4. Step 4: Simplify right side
    2,440.98x = 2,835,418.20
  5. Step 5: Solve for x
    x = 2,835,418.20/2,440.98
  6. Step 6: Final answer
    x = 1,161.59

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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.