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Finding the Fourth Proportional to 923.12, 1,273.80 and 550.22

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Solution

The fourth proportional to 923.12, 1,273.80 and 550.22 is: 759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.12 : 1,273.80 = 550.22 : x
  2. Step 2: Convert to fraction form
    923.12/1,273.80 = 550.22/x
  3. Step 3: Cross multiply
    923.12x = 1,273.80 × 550.22
  4. Step 4: Simplify right side
    923.12x = 700,870.24
  5. Step 5: Solve for x
    x = 700,870.24/923.12
  6. Step 6: Final answer
    x = 759.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.