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Finding the Fourth Proportional to 700.82, 1,049.86 and 426.23

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Solution

The fourth proportional to 700.82, 1,049.86 and 426.23 is: 638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.82 : 1,049.86 = 426.23 : x
  2. Step 2: Convert to fraction form
    700.82/1,049.86 = 426.23/x
  3. Step 3: Cross multiply
    700.82x = 1,049.86 × 426.23
  4. Step 4: Simplify right side
    700.82x = 447,483.39
  5. Step 5: Solve for x
    x = 447,483.39/700.82
  6. Step 6: Final answer
    x = 638.51

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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.