Home / 1,299.14-1,948.84-477.43

Finding the Fourth Proportional to 1,299.14, 1,948.84 and 477.43

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Solution

The fourth proportional to 1,299.14, 1,948.84 and 477.43 is: 716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.14 : 1,948.84 = 477.43 : x
  2. Step 2: Convert to fraction form
    1,299.14/1,948.84 = 477.43/x
  3. Step 3: Cross multiply
    1,299.14x = 1,948.84 × 477.43
  4. Step 4: Simplify right side
    1,299.14x = 930,435.92
  5. Step 5: Solve for x
    x = 930,435.92/1,299.14
  6. Step 6: Final answer
    x = 716.19

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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.