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Finding the Fourth Proportional to 921.83, 1,271.22 and 782.33

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Solution

The fourth proportional to 921.83, 1,271.22 and 782.33 is: 1,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.83 : 1,271.22 = 782.33 : x
  2. Step 2: Convert to fraction form
    921.83/1,271.22 = 782.33/x
  3. Step 3: Cross multiply
    921.83x = 1,271.22 × 782.33
  4. Step 4: Simplify right side
    921.83x = 994,513.54
  5. Step 5: Solve for x
    x = 994,513.54/921.83
  6. Step 6: Final answer
    x = 1,078.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.