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Finding the Fourth Proportional to 1,176.63, 1,764.81 and 310.92

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Solution

The fourth proportional to 1,176.63, 1,764.81 and 310.92 is: 466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.63 : 1,764.81 = 310.92 : x
  2. Step 2: Convert to fraction form
    1,176.63/1,764.81 = 310.92/x
  3. Step 3: Cross multiply
    1,176.63x = 1,764.81 × 310.92
  4. Step 4: Simplify right side
    1,176.63x = 548,714.73
  5. Step 5: Solve for x
    x = 548,714.73/1,176.63
  6. Step 6: Final answer
    x = 466.34

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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.