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Finding the Fourth Proportional to 479.81, 661.58 and 409.64

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Solution

The fourth proportional to 479.81, 661.58 and 409.64 is: 564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.81 : 661.58 = 409.64 : x
  2. Step 2: Convert to fraction form
    479.81/661.58 = 409.64/x
  3. Step 3: Cross multiply
    479.81x = 661.58 × 409.64
  4. Step 4: Simplify right side
    479.81x = 271,007.58
  5. Step 5: Solve for x
    x = 271,007.58/479.81
  6. Step 6: Final answer
    x = 564.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.