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Finding the Fourth Proportional to 1,299.68, 1,949.52 and 786.40

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Solution

The fourth proportional to 1,299.68, 1,949.52 and 786.40 is: 1,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.68 : 1,949.52 = 786.40 : x
  2. Step 2: Convert to fraction form
    1,299.68/1,949.52 = 786.40/x
  3. Step 3: Cross multiply
    1,299.68x = 1,949.52 × 786.40
  4. Step 4: Simplify right side
    1,299.68x = 1,533,102.53
  5. Step 5: Solve for x
    x = 1,533,102.53/1,299.68
  6. Step 6: Final answer
    x = 1,179.60

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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.