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Finding the Fourth Proportional to 467.51, 641.71 and 447.46

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Solution

The fourth proportional to 467.51, 641.71 and 447.46 is: 614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.51 : 641.71 = 447.46 : x
  2. Step 2: Convert to fraction form
    467.51/641.71 = 447.46/x
  3. Step 3: Cross multiply
    467.51x = 641.71 × 447.46
  4. Step 4: Simplify right side
    467.51x = 287,140.59
  5. Step 5: Solve for x
    x = 287,140.59/467.51
  6. Step 6: Final answer
    x = 614.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.