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Finding the Fourth Proportional to 1,644.47, 2,467.08 and 474.48

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Solution

The fourth proportional to 1,644.47, 2,467.08 and 474.48 is: 711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.47 : 2,467.08 = 474.48 : x
  2. Step 2: Convert to fraction form
    1,644.47/2,467.08 = 474.48/x
  3. Step 3: Cross multiply
    1,644.47x = 2,467.08 × 474.48
  4. Step 4: Simplify right side
    1,644.47x = 1,170,586.29
  5. Step 5: Solve for x
    x = 1,170,586.29/1,644.47
  6. Step 6: Final answer
    x = 711.83

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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.