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Finding the Fourth Proportional to 921.09, 1,384.20 and 634.35

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Solution

The fourth proportional to 921.09, 1,384.20 and 634.35 is: 953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.09 : 1,384.20 = 634.35 : x
  2. Step 2: Convert to fraction form
    921.09/1,384.20 = 634.35/x
  3. Step 3: Cross multiply
    921.09x = 1,384.20 × 634.35
  4. Step 4: Simplify right side
    921.09x = 878,067.27
  5. Step 5: Solve for x
    x = 878,067.27/921.09
  6. Step 6: Final answer
    x = 953.29

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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.