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Finding the Fourth Proportional to 820.98, 1,232.01 and 455.94

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Solution

The fourth proportional to 820.98, 1,232.01 and 455.94 is: 684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.98 : 1,232.01 = 455.94 : x
  2. Step 2: Convert to fraction form
    820.98/1,232.01 = 455.94/x
  3. Step 3: Cross multiply
    820.98x = 1,232.01 × 455.94
  4. Step 4: Simplify right side
    820.98x = 561,722.64
  5. Step 5: Solve for x
    x = 561,722.64/820.98
  6. Step 6: Final answer
    x = 684.21

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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.