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Finding the Fourth Proportional to 1,647.66, 2,471.49 and 477.73

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Solution

The fourth proportional to 1,647.66, 2,471.49 and 477.73 is: 716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.66 : 2,471.49 = 477.73 : x
  2. Step 2: Convert to fraction form
    1,647.66/2,471.49 = 477.73/x
  3. Step 3: Cross multiply
    1,647.66x = 2,471.49 × 477.73
  4. Step 4: Simplify right side
    1,647.66x = 1,180,698.74
  5. Step 5: Solve for x
    x = 1,180,698.74/1,647.66
  6. Step 6: Final answer
    x = 716.59

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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.