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Finding the Fourth Proportional to 994.66, 1,492.20 and 301.38

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Solution

The fourth proportional to 994.66, 1,492.20 and 301.38 is: 452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.66 : 1,492.20 = 301.38 : x
  2. Step 2: Convert to fraction form
    994.66/1,492.20 = 301.38/x
  3. Step 3: Cross multiply
    994.66x = 1,492.20 × 301.38
  4. Step 4: Simplify right side
    994.66x = 449,719.24
  5. Step 5: Solve for x
    x = 449,719.24/994.66
  6. Step 6: Final answer
    x = 452.13

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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.