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Finding the Fourth Proportional to 497.40, 741.92 and 445.56

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Solution

The fourth proportional to 497.40, 741.92 and 445.56 is: 664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.40 : 741.92 = 445.56 : x
  2. Step 2: Convert to fraction form
    497.40/741.92 = 445.56/x
  3. Step 3: Cross multiply
    497.40x = 741.92 × 445.56
  4. Step 4: Simplify right side
    497.40x = 330,569.88
  5. Step 5: Solve for x
    x = 330,569.88/497.40
  6. Step 6: Final answer
    x = 664.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.