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Finding the Fourth Proportional to 1,203.96, 1,661.54 and 680.07

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Solution

The fourth proportional to 1,203.96, 1,661.54 and 680.07 is: 938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.96 : 1,661.54 = 680.07 : x
  2. Step 2: Convert to fraction form
    1,203.96/1,661.54 = 680.07/x
  3. Step 3: Cross multiply
    1,203.96x = 1,661.54 × 680.07
  4. Step 4: Simplify right side
    1,203.96x = 1,129,960.11
  5. Step 5: Solve for x
    x = 1,129,960.11/1,203.96
  6. Step 6: Final answer
    x = 938.54

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1.5x scale

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.