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Finding the Fourth Proportional to 476.48, 656.42 and 406.38

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Solution

The fourth proportional to 476.48, 656.42 and 406.38 is: 559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.48 : 656.42 = 406.38 : x
  2. Step 2: Convert to fraction form
    476.48/656.42 = 406.38/x
  3. Step 3: Cross multiply
    476.48x = 656.42 × 406.38
  4. Step 4: Simplify right side
    476.48x = 266,755.96
  5. Step 5: Solve for x
    x = 266,755.96/476.48
  6. Step 6: Final answer
    x = 559.85

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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.