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Finding the Fourth Proportional to 923.43, 1,385.17 and 298.85

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Solution

The fourth proportional to 923.43, 1,385.17 and 298.85 is: 448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.43 : 1,385.17 = 298.85 : x
  2. Step 2: Convert to fraction form
    923.43/1,385.17 = 298.85/x
  3. Step 3: Cross multiply
    923.43x = 1,385.17 × 298.85
  4. Step 4: Simplify right side
    923.43x = 413,958.05
  5. Step 5: Solve for x
    x = 413,958.05/923.43
  6. Step 6: Final answer
    x = 448.28

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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.