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Finding the Fourth Proportional to 952.25, 1,428.37 and 489.47

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Solution

The fourth proportional to 952.25, 1,428.37 and 489.47 is: 734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.25 : 1,428.37 = 489.47 : x
  2. Step 2: Convert to fraction form
    952.25/1,428.37 = 489.47/x
  3. Step 3: Cross multiply
    952.25x = 1,428.37 × 489.47
  4. Step 4: Simplify right side
    952.25x = 699,135.90
  5. Step 5: Solve for x
    x = 699,135.90/952.25
  6. Step 6: Final answer
    x = 734.20

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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.