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Finding the Fourth Proportional to 923.21, 1,382.42 and 511.49

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Solution

The fourth proportional to 923.21, 1,382.42 and 511.49 is: 765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.21 : 1,382.42 = 511.49 : x
  2. Step 2: Convert to fraction form
    923.21/1,382.42 = 511.49/x
  3. Step 3: Cross multiply
    923.21x = 1,382.42 × 511.49
  4. Step 4: Simplify right side
    923.21x = 707,094.01
  5. Step 5: Solve for x
    x = 707,094.01/923.21
  6. Step 6: Final answer
    x = 765.91

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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.