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Finding the Fourth Proportional to 945.39, 1,304.56 and 546.97

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Solution

The fourth proportional to 945.39, 1,304.56 and 546.97 is: 754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.39 : 1,304.56 = 546.97 : x
  2. Step 2: Convert to fraction form
    945.39/1,304.56 = 546.97/x
  3. Step 3: Cross multiply
    945.39x = 1,304.56 × 546.97
  4. Step 4: Simplify right side
    945.39x = 713,551.97
  5. Step 5: Solve for x
    x = 713,551.97/945.39
  6. Step 6: Final answer
    x = 754.77

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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.