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Finding the Fourth Proportional to 476.09, 656.64 and 409.81

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Solution

The fourth proportional to 476.09, 656.64 and 409.81 is: 565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.09 : 656.64 = 409.81 : x
  2. Step 2: Convert to fraction form
    476.09/656.64 = 409.81/x
  3. Step 3: Cross multiply
    476.09x = 656.64 × 409.81
  4. Step 4: Simplify right side
    476.09x = 269,096.36
  5. Step 5: Solve for x
    x = 269,096.36/476.09
  6. Step 6: Final answer
    x = 565.22

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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.