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Finding the Fourth Proportional to 992.92, 1,480.64 and 923.66

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Solution

The fourth proportional to 992.92, 1,480.64 and 923.66 is: 1,377.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.92 : 1,480.64 = 923.66 : x
  2. Step 2: Convert to fraction form
    992.92/1,480.64 = 923.66/x
  3. Step 3: Cross multiply
    992.92x = 1,480.64 × 923.66
  4. Step 4: Simplify right side
    992.92x = 1,367,607.94
  5. Step 5: Solve for x
    x = 1,367,607.94/992.92
  6. Step 6: Final answer
    x = 1,377.36

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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.