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Finding the Fourth Proportional to 1,204.09, 1,661.25 and 706.85

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Solution

The fourth proportional to 1,204.09, 1,661.25 and 706.85 is: 975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.09 : 1,661.25 = 706.85 : x
  2. Step 2: Convert to fraction form
    1,204.09/1,661.25 = 706.85/x
  3. Step 3: Cross multiply
    1,204.09x = 1,661.25 × 706.85
  4. Step 4: Simplify right side
    1,204.09x = 1,174,253.15
  5. Step 5: Solve for x
    x = 1,174,253.15/1,204.09
  6. Step 6: Final answer
    x = 975.22

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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.