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Finding the Fourth Proportional to 994.88, 1,492.32 and 447.08

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Solution

The fourth proportional to 994.88, 1,492.32 and 447.08 is: 670.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.88 : 1,492.32 = 447.08 : x
  2. Step 2: Convert to fraction form
    994.88/1,492.32 = 447.08/x
  3. Step 3: Cross multiply
    994.88x = 1,492.32 × 447.08
  4. Step 4: Simplify right side
    994.88x = 667,186.43
  5. Step 5: Solve for x
    x = 667,186.43/994.88
  6. Step 6: Final answer
    x = 670.62

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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.