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Finding the Fourth Proportional to 699.63, 1,049.39 and 212.68

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Solution

The fourth proportional to 699.63, 1,049.39 and 212.68 is: 319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.63 : 1,049.39 = 212.68 : x
  2. Step 2: Convert to fraction form
    699.63/1,049.39 = 212.68/x
  3. Step 3: Cross multiply
    699.63x = 1,049.39 × 212.68
  4. Step 4: Simplify right side
    699.63x = 223,184.27
  5. Step 5: Solve for x
    x = 223,184.27/699.63
  6. Step 6: Final answer
    x = 319.00

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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.