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Finding the Fourth Proportional to 1,204.30, 1,661.34 and 706.62

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Solution

The fourth proportional to 1,204.30, 1,661.34 and 706.62 is: 974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.30 : 1,661.34 = 706.62 : x
  2. Step 2: Convert to fraction form
    1,204.30/1,661.34 = 706.62/x
  3. Step 3: Cross multiply
    1,204.30x = 1,661.34 × 706.62
  4. Step 4: Simplify right side
    1,204.30x = 1,173,936.07
  5. Step 5: Solve for x
    x = 1,173,936.07/1,204.30
  6. Step 6: Final answer
    x = 974.79

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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.