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Finding the Fourth Proportional to 476.28, 656.64 and 409.32

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Solution

The fourth proportional to 476.28, 656.64 and 409.32 is: 564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.28 : 656.64 = 409.32 : x
  2. Step 2: Convert to fraction form
    476.28/656.64 = 409.32/x
  3. Step 3: Cross multiply
    476.28x = 656.64 × 409.32
  4. Step 4: Simplify right side
    476.28x = 268,775.88
  5. Step 5: Solve for x
    x = 268,775.88/476.28
  6. Step 6: Final answer
    x = 564.32

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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.