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Finding the Fourth Proportional to 741.26, 1,022.45 and 446.22

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Solution

The fourth proportional to 741.26, 1,022.45 and 446.22 is: 615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.26 : 1,022.45 = 446.22 : x
  2. Step 2: Convert to fraction form
    741.26/1,022.45 = 446.22/x
  3. Step 3: Cross multiply
    741.26x = 1,022.45 × 446.22
  4. Step 4: Simplify right side
    741.26x = 456,237.64
  5. Step 5: Solve for x
    x = 456,237.64/741.26
  6. Step 6: Final answer
    x = 615.49

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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.