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Finding the Fourth Proportional to 1,054.32, 1,578.03 and 953.27

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Solution

The fourth proportional to 1,054.32, 1,578.03 and 953.27 is: 1,426.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.32 : 1,578.03 = 953.27 : x
  2. Step 2: Convert to fraction form
    1,054.32/1,578.03 = 953.27/x
  3. Step 3: Cross multiply
    1,054.32x = 1,578.03 × 953.27
  4. Step 4: Simplify right side
    1,054.32x = 1,504,288.66
  5. Step 5: Solve for x
    x = 1,504,288.66/1,054.32
  6. Step 6: Final answer
    x = 1,426.79

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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.