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Finding the Fourth Proportional to 786.38, 1,178.73 and 265.88

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Solution

The fourth proportional to 786.38, 1,178.73 and 265.88 is: 398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.38 : 1,178.73 = 265.88 : x
  2. Step 2: Convert to fraction form
    786.38/1,178.73 = 265.88/x
  3. Step 3: Cross multiply
    786.38x = 1,178.73 × 265.88
  4. Step 4: Simplify right side
    786.38x = 313,394.84
  5. Step 5: Solve for x
    x = 313,394.84/786.38
  6. Step 6: Final answer
    x = 398.53

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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.