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Finding the Fourth Proportional to 467.19, 645.84 and 447.95

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Solution

The fourth proportional to 467.19, 645.84 and 447.95 is: 619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.19 : 645.84 = 447.95 : x
  2. Step 2: Convert to fraction form
    467.19/645.84 = 447.95/x
  3. Step 3: Cross multiply
    467.19x = 645.84 × 447.95
  4. Step 4: Simplify right side
    467.19x = 289,305.64
  5. Step 5: Solve for x
    x = 289,305.64/467.19
  6. Step 6: Final answer
    x = 619.25

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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.