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Finding the Fourth Proportional to 701.70, 1,052.56 and 414.96

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Solution

The fourth proportional to 701.70, 1,052.56 and 414.96 is: 622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.70 : 1,052.56 = 414.96 : x
  2. Step 2: Convert to fraction form
    701.70/1,052.56 = 414.96/x
  3. Step 3: Cross multiply
    701.70x = 1,052.56 × 414.96
  4. Step 4: Simplify right side
    701.70x = 436,770.30
  5. Step 5: Solve for x
    x = 436,770.30/701.70
  6. Step 6: Final answer
    x = 622.45

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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.