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Finding the Fourth Proportional to 994.06, 1,491.50 and 446.10

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Solution

The fourth proportional to 994.06, 1,491.50 and 446.10 is: 669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.06 : 1,491.50 = 446.10 : x
  2. Step 2: Convert to fraction form
    994.06/1,491.50 = 446.10/x
  3. Step 3: Cross multiply
    994.06x = 1,491.50 × 446.10
  4. Step 4: Simplify right side
    994.06x = 665,358.15
  5. Step 5: Solve for x
    x = 665,358.15/994.06
  6. Step 6: Final answer
    x = 669.33

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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.