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Finding the Fourth Proportional to 994.07, 1,490.98 and 300.94

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Solution

The fourth proportional to 994.07, 1,490.98 and 300.94 is: 451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.07 : 1,490.98 = 300.94 : x
  2. Step 2: Convert to fraction form
    994.07/1,490.98 = 300.94/x
  3. Step 3: Cross multiply
    994.07x = 1,490.98 × 300.94
  4. Step 4: Simplify right side
    994.07x = 448,696.65
  5. Step 5: Solve for x
    x = 448,696.65/994.07
  6. Step 6: Final answer
    x = 451.37

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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.