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Finding the Fourth Proportional to 1,139.62, 1,709.05 and 446.12

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Solution

The fourth proportional to 1,139.62, 1,709.05 and 446.12 is: 669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.62 : 1,709.05 = 446.12 : x
  2. Step 2: Convert to fraction form
    1,139.62/1,709.05 = 446.12/x
  3. Step 3: Cross multiply
    1,139.62x = 1,709.05 × 446.12
  4. Step 4: Simplify right side
    1,139.62x = 762,441.39
  5. Step 5: Solve for x
    x = 762,441.39/1,139.62
  6. Step 6: Final answer
    x = 669.03

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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.