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Finding the Fourth Proportional to 479.21, 660.83 and 313.13

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Solution

The fourth proportional to 479.21, 660.83 and 313.13 is: 431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.21 : 660.83 = 313.13 : x
  2. Step 2: Convert to fraction form
    479.21/660.83 = 313.13/x
  3. Step 3: Cross multiply
    479.21x = 660.83 × 313.13
  4. Step 4: Simplify right side
    479.21x = 206,920.83
  5. Step 5: Solve for x
    x = 206,920.83/479.21
  6. Step 6: Final answer
    x = 431.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.