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Finding the Fourth Proportional to 480.28, 665.30 and 470.56

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Solution

The fourth proportional to 480.28, 665.30 and 470.56 is: 651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.28 : 665.30 = 470.56 : x
  2. Step 2: Convert to fraction form
    480.28/665.30 = 470.56/x
  3. Step 3: Cross multiply
    480.28x = 665.30 × 470.56
  4. Step 4: Simplify right side
    480.28x = 313,063.57
  5. Step 5: Solve for x
    x = 313,063.57/480.28
  6. Step 6: Final answer
    x = 651.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.