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Finding the Fourth Proportional to 468.62, 645.16 and 445.53

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Solution

The fourth proportional to 468.62, 645.16 and 445.53 is: 613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.62 : 645.16 = 445.53 : x
  2. Step 2: Convert to fraction form
    468.62/645.16 = 445.53/x
  3. Step 3: Cross multiply
    468.62x = 645.16 × 445.53
  4. Step 4: Simplify right side
    468.62x = 287,438.13
  5. Step 5: Solve for x
    x = 287,438.13/468.62
  6. Step 6: Final answer
    x = 613.37

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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.