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Finding the Fourth Proportional to 1,329.99, 1,996.38 and 637.25

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Solution

The fourth proportional to 1,329.99, 1,996.38 and 637.25 is: 956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.99 : 1,996.38 = 637.25 : x
  2. Step 2: Convert to fraction form
    1,329.99/1,996.38 = 637.25/x
  3. Step 3: Cross multiply
    1,329.99x = 1,996.38 × 637.25
  4. Step 4: Simplify right side
    1,329.99x = 1,272,183.17
  5. Step 5: Solve for x
    x = 1,272,183.17/1,329.99
  6. Step 6: Final answer
    x = 956.54

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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.