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Finding the Fourth Proportional to 946.22, 1,304.09 and 725.70

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Solution

The fourth proportional to 946.22, 1,304.09 and 725.70 is: 1,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.22 : 1,304.09 = 725.70 : x
  2. Step 2: Convert to fraction form
    946.22/1,304.09 = 725.70/x
  3. Step 3: Cross multiply
    946.22x = 1,304.09 × 725.70
  4. Step 4: Simplify right side
    946.22x = 946,378.11
  5. Step 5: Solve for x
    x = 946,378.11/946.22
  6. Step 6: Final answer
    x = 1,000.17

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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.