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Finding the Fourth Proportional to 1,647.87, 2,472.75 and 673.98

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Solution

The fourth proportional to 1,647.87, 2,472.75 and 673.98 is: 1,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.87 : 2,472.75 = 673.98 : x
  2. Step 2: Convert to fraction form
    1,647.87/2,472.75 = 673.98/x
  3. Step 3: Cross multiply
    1,647.87x = 2,472.75 × 673.98
  4. Step 4: Simplify right side
    1,647.87x = 1,666,584.05
  5. Step 5: Solve for x
    x = 1,666,584.05/1,647.87
  6. Step 6: Final answer
    x = 1,011.36

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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.