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Finding the Fourth Proportional to 701.12, 1,050.80 and 682.96

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Solution

The fourth proportional to 701.12, 1,050.80 and 682.96 is: 1,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.12 : 1,050.80 = 682.96 : x
  2. Step 2: Convert to fraction form
    701.12/1,050.80 = 682.96/x
  3. Step 3: Cross multiply
    701.12x = 1,050.80 × 682.96
  4. Step 4: Simplify right side
    701.12x = 717,654.37
  5. Step 5: Solve for x
    x = 717,654.37/701.12
  6. Step 6: Final answer
    x = 1,023.58

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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.