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Finding the Fourth Proportional to 1,648.72, 2,472.36 and 622

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Solution

The fourth proportional to 1,648.72, 2,472.36 and 622 is: 932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.72 : 2,472.36 = 622 : x
  2. Step 2: Convert to fraction form
    1,648.72/2,472.36 = 622/x
  3. Step 3: Cross multiply
    1,648.72x = 2,472.36 × 622
  4. Step 4: Simplify right side
    1,648.72x = 1,537,807.92
  5. Step 5: Solve for x
    x = 1,537,807.92/1,648.72
  6. Step 6: Final answer
    x = 932.73

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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.