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Finding the Fourth Proportional to 741.24, 1,022.90 and 409.68

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Solution

The fourth proportional to 741.24, 1,022.90 and 409.68 is: 565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.24 : 1,022.90 = 409.68 : x
  2. Step 2: Convert to fraction form
    741.24/1,022.90 = 409.68/x
  3. Step 3: Cross multiply
    741.24x = 1,022.90 × 409.68
  4. Step 4: Simplify right side
    741.24x = 419,061.67
  5. Step 5: Solve for x
    x = 419,061.67/741.24
  6. Step 6: Final answer
    x = 565.35

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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.