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Finding the Fourth Proportional to 2,485.96, 3,728.90 and 637.07

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Solution

The fourth proportional to 2,485.96, 3,728.90 and 637.07 is: 955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.96 : 3,728.90 = 637.07 : x
  2. Step 2: Convert to fraction form
    2,485.96/3,728.90 = 637.07/x
  3. Step 3: Cross multiply
    2,485.96x = 3,728.90 × 637.07
  4. Step 4: Simplify right side
    2,485.96x = 2,375,553.27
  5. Step 5: Solve for x
    x = 2,375,553.27/2,485.96
  6. Step 6: Final answer
    x = 955.59

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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.