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Finding the Fourth Proportional to 1,152.90, 1,727.53 and 923.27

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Solution

The fourth proportional to 1,152.90, 1,727.53 and 923.27 is: 1,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.90 : 1,727.53 = 923.27 : x
  2. Step 2: Convert to fraction form
    1,152.90/1,727.53 = 923.27/x
  3. Step 3: Cross multiply
    1,152.90x = 1,727.53 × 923.27
  4. Step 4: Simplify right side
    1,152.90x = 1,594,965.68
  5. Step 5: Solve for x
    x = 1,594,965.68/1,152.90
  6. Step 6: Final answer
    x = 1,383.44

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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.