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Finding the Fourth Proportional to 480.96, 666.52 and 473.67

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Solution

The fourth proportional to 480.96, 666.52 and 473.67 is: 656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.96 : 666.52 = 473.67 : x
  2. Step 2: Convert to fraction form
    480.96/666.52 = 473.67/x
  3. Step 3: Cross multiply
    480.96x = 666.52 × 473.67
  4. Step 4: Simplify right side
    480.96x = 315,709.34
  5. Step 5: Solve for x
    x = 315,709.34/480.96
  6. Step 6: Final answer
    x = 656.41

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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.