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Finding the Fourth Proportional to 1,300.68, 1,950.88 and 376.12

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Solution

The fourth proportional to 1,300.68, 1,950.88 and 376.12 is: 564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.68 : 1,950.88 = 376.12 : x
  2. Step 2: Convert to fraction form
    1,300.68/1,950.88 = 376.12/x
  3. Step 3: Cross multiply
    1,300.68x = 1,950.88 × 376.12
  4. Step 4: Simplify right side
    1,300.68x = 733,764.99
  5. Step 5: Solve for x
    x = 733,764.99/1,300.68
  6. Step 6: Final answer
    x = 564.14

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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.