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Finding the Fourth Proportional to 1,647.95, 2,471.57 and 477.69

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Solution

The fourth proportional to 1,647.95, 2,471.57 and 477.69 is: 716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.95 : 2,471.57 = 477.69 : x
  2. Step 2: Convert to fraction form
    1,647.95/2,471.57 = 477.69/x
  3. Step 3: Cross multiply
    1,647.95x = 2,471.57 × 477.69
  4. Step 4: Simplify right side
    1,647.95x = 1,180,641.88
  5. Step 5: Solve for x
    x = 1,180,641.88/1,647.95
  6. Step 6: Final answer
    x = 716.43

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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.