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Finding the Fourth Proportional to 1,209.43, 1,813.33 and 478.81

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Solution

The fourth proportional to 1,209.43, 1,813.33 and 478.81 is: 717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.43 : 1,813.33 = 478.81 : x
  2. Step 2: Convert to fraction form
    1,209.43/1,813.33 = 478.81/x
  3. Step 3: Cross multiply
    1,209.43x = 1,813.33 × 478.81
  4. Step 4: Simplify right side
    1,209.43x = 868,240.54
  5. Step 5: Solve for x
    x = 868,240.54/1,209.43
  6. Step 6: Final answer
    x = 717.89

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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.