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Finding the Fourth Proportional to 741.04, 1,022.62 and 409.48

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Solution

The fourth proportional to 741.04, 1,022.62 and 409.48 is: 565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.04 : 1,022.62 = 409.48 : x
  2. Step 2: Convert to fraction form
    741.04/1,022.62 = 409.48/x
  3. Step 3: Cross multiply
    741.04x = 1,022.62 × 409.48
  4. Step 4: Simplify right side
    741.04x = 418,735.28
  5. Step 5: Solve for x
    x = 418,735.28/741.04
  6. Step 6: Final answer
    x = 565.07

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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.