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Finding the Fourth Proportional to 3,205.50, 4,809.06 and 897

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Solution

The fourth proportional to 3,205.50, 4,809.06 and 897 is: 1,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.50 : 4,809.06 = 897 : x
  2. Step 2: Convert to fraction form
    3,205.50/4,809.06 = 897/x
  3. Step 3: Cross multiply
    3,205.50x = 4,809.06 × 897
  4. Step 4: Simplify right side
    3,205.50x = 4,313,726.82
  5. Step 5: Solve for x
    x = 4,313,726.82/3,205.50
  6. Step 6: Final answer
    x = 1,345.73

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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.