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Finding the Fourth Proportional to 990.41, 1,492.43 and 820.88

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Solution

The fourth proportional to 990.41, 1,492.43 and 820.88 is: 1,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.41 : 1,492.43 = 820.88 : x
  2. Step 2: Convert to fraction form
    990.41/1,492.43 = 820.88/x
  3. Step 3: Cross multiply
    990.41x = 1,492.43 × 820.88
  4. Step 4: Simplify right side
    990.41x = 1,225,108.36
  5. Step 5: Solve for x
    x = 1,225,108.36/990.41
  6. Step 6: Final answer
    x = 1,236.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.