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Finding the Fourth Proportional to 486.12, 665.22 and 476.04

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Solution

The fourth proportional to 486.12, 665.22 and 476.04 is: 651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.12 : 665.22 = 476.04 : x
  2. Step 2: Convert to fraction form
    486.12/665.22 = 476.04/x
  3. Step 3: Cross multiply
    486.12x = 665.22 × 476.04
  4. Step 4: Simplify right side
    486.12x = 316,671.33
  5. Step 5: Solve for x
    x = 316,671.33/486.12
  6. Step 6: Final answer
    x = 651.43

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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.