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Finding the Fourth Proportional to 486.38, 666.38 and 480.31

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Solution

The fourth proportional to 486.38, 666.38 and 480.31 is: 658.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.38 : 666.38 = 480.31 : x
  2. Step 2: Convert to fraction form
    486.38/666.38 = 480.31/x
  3. Step 3: Cross multiply
    486.38x = 666.38 × 480.31
  4. Step 4: Simplify right side
    486.38x = 320,068.98
  5. Step 5: Solve for x
    x = 320,068.98/486.38
  6. Step 6: Final answer
    x = 658.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.