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Finding the Fourth Proportional to 480.87, 663.71 and 314.78

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Solution

The fourth proportional to 480.87, 663.71 and 314.78 is: 434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.87 : 663.71 = 314.78 : x
  2. Step 2: Convert to fraction form
    480.87/663.71 = 314.78/x
  3. Step 3: Cross multiply
    480.87x = 663.71 × 314.78
  4. Step 4: Simplify right side
    480.87x = 208,917.74
  5. Step 5: Solve for x
    x = 208,917.74/480.87
  6. Step 6: Final answer
    x = 434.46

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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.