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Finding the Fourth Proportional to 786.28, 1,178.72 and 299.68

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Solution

The fourth proportional to 786.28, 1,178.72 and 299.68 is: 449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.28 : 1,178.72 = 299.68 : x
  2. Step 2: Convert to fraction form
    786.28/1,178.72 = 299.68/x
  3. Step 3: Cross multiply
    786.28x = 1,178.72 × 299.68
  4. Step 4: Simplify right side
    786.28x = 353,238.81
  5. Step 5: Solve for x
    x = 353,238.81/786.28
  6. Step 6: Final answer
    x = 449.25

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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.