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Finding the Fourth Proportional to 700.11, 1,049.94 and 213.05

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Solution

The fourth proportional to 700.11, 1,049.94 and 213.05 is: 319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.11 : 1,049.94 = 213.05 : x
  2. Step 2: Convert to fraction form
    700.11/1,049.94 = 213.05/x
  3. Step 3: Cross multiply
    700.11x = 1,049.94 × 213.05
  4. Step 4: Simplify right side
    700.11x = 223,692.34
  5. Step 5: Solve for x
    x = 223,692.34/700.11
  6. Step 6: Final answer
    x = 319.51

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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.