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Finding the Fourth Proportional to 480.44, 663.32 and 314.94

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Solution

The fourth proportional to 480.44, 663.32 and 314.94 is: 434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.44 : 663.32 = 314.94 : x
  2. Step 2: Convert to fraction form
    480.44/663.32 = 314.94/x
  3. Step 3: Cross multiply
    480.44x = 663.32 × 314.94
  4. Step 4: Simplify right side
    480.44x = 208,906.79
  5. Step 5: Solve for x
    x = 208,906.79/480.44
  6. Step 6: Final answer
    x = 434.82

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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.