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Finding the Fourth Proportional to 1,204.03, 1,661.57 and 680.10

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Solution

The fourth proportional to 1,204.03, 1,661.57 and 680.10 is: 938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.03 : 1,661.57 = 680.10 : x
  2. Step 2: Convert to fraction form
    1,204.03/1,661.57 = 680.10/x
  3. Step 3: Cross multiply
    1,204.03x = 1,661.57 × 680.10
  4. Step 4: Simplify right side
    1,204.03x = 1,130,033.76
  5. Step 5: Solve for x
    x = 1,130,033.76/1,204.03
  6. Step 6: Final answer
    x = 938.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.