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Finding the Fourth Proportional to 994.25, 1,491.38 and 310.25

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Solution

The fourth proportional to 994.25, 1,491.38 and 310.25 is: 465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.25 : 1,491.38 = 310.25 : x
  2. Step 2: Convert to fraction form
    994.25/1,491.38 = 310.25/x
  3. Step 3: Cross multiply
    994.25x = 1,491.38 × 310.25
  4. Step 4: Simplify right side
    994.25x = 462,700.65
  5. Step 5: Solve for x
    x = 462,700.65/994.25
  6. Step 6: Final answer
    x = 465.38

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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.