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Finding the Fourth Proportional to 922.67, 1,384.05 and 264.49

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Solution

The fourth proportional to 922.67, 1,384.05 and 264.49 is: 396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.67 : 1,384.05 = 264.49 : x
  2. Step 2: Convert to fraction form
    922.67/1,384.05 = 264.49/x
  3. Step 3: Cross multiply
    922.67x = 1,384.05 × 264.49
  4. Step 4: Simplify right side
    922.67x = 366,067.38
  5. Step 5: Solve for x
    x = 366,067.38/922.67
  6. Step 6: Final answer
    x = 396.75

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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.