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Finding the Fourth Proportional to 1,205.47, 1,662.68 and 708.21

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Solution

The fourth proportional to 1,205.47, 1,662.68 and 708.21 is: 976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.47 : 1,662.68 = 708.21 : x
  2. Step 2: Convert to fraction form
    1,205.47/1,662.68 = 708.21/x
  3. Step 3: Cross multiply
    1,205.47x = 1,662.68 × 708.21
  4. Step 4: Simplify right side
    1,205.47x = 1,177,514.75
  5. Step 5: Solve for x
    x = 1,177,514.75/1,205.47
  6. Step 6: Final answer
    x = 976.81

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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.