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Finding the Fourth Proportional to 698.98, 964.88 and 450.61

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Solution

The fourth proportional to 698.98, 964.88 and 450.61 is: 622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.98 : 964.88 = 450.61 : x
  2. Step 2: Convert to fraction form
    698.98/964.88 = 450.61/x
  3. Step 3: Cross multiply
    698.98x = 964.88 × 450.61
  4. Step 4: Simplify right side
    698.98x = 434,784.58
  5. Step 5: Solve for x
    x = 434,784.58/698.98
  6. Step 6: Final answer
    x = 622.03

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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.