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Finding the Fourth Proportional to 921.29, 1,380.69 and 685.98

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Solution

The fourth proportional to 921.29, 1,380.69 and 685.98 is: 1,028.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.29 : 1,380.69 = 685.98 : x
  2. Step 2: Convert to fraction form
    921.29/1,380.69 = 685.98/x
  3. Step 3: Cross multiply
    921.29x = 1,380.69 × 685.98
  4. Step 4: Simplify right side
    921.29x = 947,125.73
  5. Step 5: Solve for x
    x = 947,125.73/921.29
  6. Step 6: Final answer
    x = 1,028.05

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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.