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Finding the Fourth Proportional to 1,270.99, 1,906.29 and 491.36

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Solution

The fourth proportional to 1,270.99, 1,906.29 and 491.36 is: 736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.99 : 1,906.29 = 491.36 : x
  2. Step 2: Convert to fraction form
    1,270.99/1,906.29 = 491.36/x
  3. Step 3: Cross multiply
    1,270.99x = 1,906.29 × 491.36
  4. Step 4: Simplify right side
    1,270.99x = 936,674.65
  5. Step 5: Solve for x
    x = 936,674.65/1,270.99
  6. Step 6: Final answer
    x = 736.96

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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.