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Finding the Fourth Proportional to 468.74, 645.33 and 445.66

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Solution

The fourth proportional to 468.74, 645.33 and 445.66 is: 613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.74 : 645.33 = 445.66 : x
  2. Step 2: Convert to fraction form
    468.74/645.33 = 445.66/x
  3. Step 3: Cross multiply
    468.74x = 645.33 × 445.66
  4. Step 4: Simplify right side
    468.74x = 287,597.77
  5. Step 5: Solve for x
    x = 287,597.77/468.74
  6. Step 6: Final answer
    x = 613.55

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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.