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Finding the Fourth Proportional to 1,299.74, 1,950.95 and 752.99

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Solution

The fourth proportional to 1,299.74, 1,950.95 and 752.99 is: 1,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.74 : 1,950.95 = 752.99 : x
  2. Step 2: Convert to fraction form
    1,299.74/1,950.95 = 752.99/x
  3. Step 3: Cross multiply
    1,299.74x = 1,950.95 × 752.99
  4. Step 4: Simplify right side
    1,299.74x = 1,469,037.97
  5. Step 5: Solve for x
    x = 1,469,037.97/1,299.74
  6. Step 6: Final answer
    x = 1,130.26

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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.