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Finding the Fourth Proportional to 921.42, 1,380.51 and 820.98

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Solution

The fourth proportional to 921.42, 1,380.51 and 820.98 is: 1,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.42 : 1,380.51 = 820.98 : x
  2. Step 2: Convert to fraction form
    921.42/1,380.51 = 820.98/x
  3. Step 3: Cross multiply
    921.42x = 1,380.51 × 820.98
  4. Step 4: Simplify right side
    921.42x = 1,133,371.10
  5. Step 5: Solve for x
    x = 1,133,371.10/921.42
  6. Step 6: Final answer
    x = 1,230.03

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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.