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Finding the Fourth Proportional to 994.95, 1,491.91 and 446.66

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Solution

The fourth proportional to 994.95, 1,491.91 and 446.66 is: 669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.95 : 1,491.91 = 446.66 : x
  2. Step 2: Convert to fraction form
    994.95/1,491.91 = 446.66/x
  3. Step 3: Cross multiply
    994.95x = 1,491.91 × 446.66
  4. Step 4: Simplify right side
    994.95x = 666,372.05
  5. Step 5: Solve for x
    x = 666,372.05/994.95
  6. Step 6: Final answer
    x = 669.76

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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.