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Finding the Fourth Proportional to 1,721.63, 2,580.96 and 681.46

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Solution

The fourth proportional to 1,721.63, 2,580.96 and 681.46 is: 1,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.63 : 2,580.96 = 681.46 : x
  2. Step 2: Convert to fraction form
    1,721.63/2,580.96 = 681.46/x
  3. Step 3: Cross multiply
    1,721.63x = 2,580.96 × 681.46
  4. Step 4: Simplify right side
    1,721.63x = 1,758,821.00
  5. Step 5: Solve for x
    x = 1,758,821.00/1,721.63
  6. Step 6: Final answer
    x = 1,021.60

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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.