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Finding the Fourth Proportional to 952.64, 1,422.80 and 946.44

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Solution

The fourth proportional to 952.64, 1,422.80 and 946.44 is: 1,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.64 : 1,422.80 = 946.44 : x
  2. Step 2: Convert to fraction form
    952.64/1,422.80 = 946.44/x
  3. Step 3: Cross multiply
    952.64x = 1,422.80 × 946.44
  4. Step 4: Simplify right side
    952.64x = 1,346,594.83
  5. Step 5: Solve for x
    x = 1,346,594.83/952.64
  6. Step 6: Final answer
    x = 1,413.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.