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Finding the Fourth Proportional to 847.09, 1,268.81 and 407.67

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Solution

The fourth proportional to 847.09, 1,268.81 and 407.67 is: 610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.09 : 1,268.81 = 407.67 : x
  2. Step 2: Convert to fraction form
    847.09/1,268.81 = 407.67/x
  3. Step 3: Cross multiply
    847.09x = 1,268.81 × 407.67
  4. Step 4: Simplify right side
    847.09x = 517,247.39
  5. Step 5: Solve for x
    x = 517,247.39/847.09
  6. Step 6: Final answer
    x = 610.62

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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.