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Finding the Fourth Proportional to 1,461.16, 2,191.62 and 681

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Solution

The fourth proportional to 1,461.16, 2,191.62 and 681 is: 1,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.16 : 2,191.62 = 681 : x
  2. Step 2: Convert to fraction form
    1,461.16/2,191.62 = 681/x
  3. Step 3: Cross multiply
    1,461.16x = 2,191.62 × 681
  4. Step 4: Simplify right side
    1,461.16x = 1,492,493.22
  5. Step 5: Solve for x
    x = 1,492,493.22/1,461.16
  6. Step 6: Final answer
    x = 1,021.44

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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.