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Finding the Fourth Proportional to 996.10, 1,492.80 and 666.10

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Solution

The fourth proportional to 996.10, 1,492.80 and 666.10 is: 998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.10 : 1,492.80 = 666.10 : x
  2. Step 2: Convert to fraction form
    996.10/1,492.80 = 666.10/x
  3. Step 3: Cross multiply
    996.10x = 1,492.80 × 666.10
  4. Step 4: Simplify right side
    996.10x = 994,354.08
  5. Step 5: Solve for x
    x = 994,354.08/996.10
  6. Step 6: Final answer
    x = 998.25

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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.