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Finding the Fourth Proportional to 994.59, 1,492.89 and 446.94

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Solution

The fourth proportional to 994.59, 1,492.89 and 446.94 is: 670.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.59 : 1,492.89 = 446.94 : x
  2. Step 2: Convert to fraction form
    994.59/1,492.89 = 446.94/x
  3. Step 3: Cross multiply
    994.59x = 1,492.89 × 446.94
  4. Step 4: Simplify right side
    994.59x = 667,232.26
  5. Step 5: Solve for x
    x = 667,232.26/994.59
  6. Step 6: Final answer
    x = 670.86

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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.