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Finding the Fourth Proportional to 923.50, 1,383.43 and 692.65

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Solution

The fourth proportional to 923.50, 1,383.43 and 692.65 is: 1,037.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.50 : 1,383.43 = 692.65 : x
  2. Step 2: Convert to fraction form
    923.50/1,383.43 = 692.65/x
  3. Step 3: Cross multiply
    923.50x = 1,383.43 × 692.65
  4. Step 4: Simplify right side
    923.50x = 958,234.09
  5. Step 5: Solve for x
    x = 958,234.09/923.50
  6. Step 6: Final answer
    x = 1,037.61

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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.