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Finding the Fourth Proportional to 1,179.32, 1,768.96 and 313.68

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Solution

The fourth proportional to 1,179.32, 1,768.96 and 313.68 is: 470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.32 : 1,768.96 = 313.68 : x
  2. Step 2: Convert to fraction form
    1,179.32/1,768.96 = 313.68/x
  3. Step 3: Cross multiply
    1,179.32x = 1,768.96 × 313.68
  4. Step 4: Simplify right side
    1,179.32x = 554,887.37
  5. Step 5: Solve for x
    x = 554,887.37/1,179.32
  6. Step 6: Final answer
    x = 470.51

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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.