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Finding the Fourth Proportional to 1,461.51, 2,191.92 and 681.02

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Solution

The fourth proportional to 1,461.51, 2,191.92 and 681.02 is: 1,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.51 : 2,191.92 = 681.02 : x
  2. Step 2: Convert to fraction form
    1,461.51/2,191.92 = 681.02/x
  3. Step 3: Cross multiply
    1,461.51x = 2,191.92 × 681.02
  4. Step 4: Simplify right side
    1,461.51x = 1,492,741.36
  5. Step 5: Solve for x
    x = 1,492,741.36/1,461.51
  6. Step 6: Final answer
    x = 1,021.37

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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.