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Finding the Fourth Proportional to 1,178.48, 1,765.89 and 484.56

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Solution

The fourth proportional to 1,178.48, 1,765.89 and 484.56 is: 726.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.48 : 1,765.89 = 484.56 : x
  2. Step 2: Convert to fraction form
    1,178.48/1,765.89 = 484.56/x
  3. Step 3: Cross multiply
    1,178.48x = 1,765.89 × 484.56
  4. Step 4: Simplify right side
    1,178.48x = 855,679.66
  5. Step 5: Solve for x
    x = 855,679.66/1,178.48
  6. Step 6: Final answer
    x = 726.09

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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.