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Finding the Fourth Proportional to 952.28, 1,426.41 and 488.65

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Solution

The fourth proportional to 952.28, 1,426.41 and 488.65 is: 731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.28 : 1,426.41 = 488.65 : x
  2. Step 2: Convert to fraction form
    952.28/1,426.41 = 488.65/x
  3. Step 3: Cross multiply
    952.28x = 1,426.41 × 488.65
  4. Step 4: Simplify right side
    952.28x = 697,015.25
  5. Step 5: Solve for x
    x = 697,015.25/952.28
  6. Step 6: Final answer
    x = 731.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.