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Finding the Fourth Proportional to 1,178.72, 1,768.03 and 301.21

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Solution

The fourth proportional to 1,178.72, 1,768.03 and 301.21 is: 451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.72 : 1,768.03 = 301.21 : x
  2. Step 2: Convert to fraction form
    1,178.72/1,768.03 = 301.21/x
  3. Step 3: Cross multiply
    1,178.72x = 1,768.03 × 301.21
  4. Step 4: Simplify right side
    1,178.72x = 532,550.90
  5. Step 5: Solve for x
    x = 532,550.90/1,178.72
  6. Step 6: Final answer
    x = 451.80

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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.