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Finding the Fourth Proportional to 1,197.64, 1,653.03 and 945.41

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Solution

The fourth proportional to 1,197.64, 1,653.03 and 945.41 is: 1,304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.64 : 1,653.03 = 945.41 : x
  2. Step 2: Convert to fraction form
    1,197.64/1,653.03 = 945.41/x
  3. Step 3: Cross multiply
    1,197.64x = 1,653.03 × 945.41
  4. Step 4: Simplify right side
    1,197.64x = 1,562,791.09
  5. Step 5: Solve for x
    x = 1,562,791.09/1,197.64
  6. Step 6: Final answer
    x = 1,304.89

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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.