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Finding the Fourth Proportional to 923.23, 1,379.45 and 890.94

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Solution

The fourth proportional to 923.23, 1,379.45 and 890.94 is: 1,331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.23 : 1,379.45 = 890.94 : x
  2. Step 2: Convert to fraction form
    923.23/1,379.45 = 890.94/x
  3. Step 3: Cross multiply
    923.23x = 1,379.45 × 890.94
  4. Step 4: Simplify right side
    923.23x = 1,229,007.18
  5. Step 5: Solve for x
    x = 1,229,007.18/923.23
  6. Step 6: Final answer
    x = 1,331.20

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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.