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Finding the Fourth Proportional to 939.09, 1,295.28 and 584.72

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Solution

The fourth proportional to 939.09, 1,295.28 and 584.72 is: 806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.09 : 1,295.28 = 584.72 : x
  2. Step 2: Convert to fraction form
    939.09/1,295.28 = 584.72/x
  3. Step 3: Cross multiply
    939.09x = 1,295.28 × 584.72
  4. Step 4: Simplify right side
    939.09x = 757,369.65
  5. Step 5: Solve for x
    x = 757,369.65/939.09
  6. Step 6: Final answer
    x = 806.49

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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.