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Finding the Fourth Proportional to 467.64, 641.15 and 460.47

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Solution

The fourth proportional to 467.64, 641.15 and 460.47 is: 631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.64 : 641.15 = 460.47 : x
  2. Step 2: Convert to fraction form
    467.64/641.15 = 460.47/x
  3. Step 3: Cross multiply
    467.64x = 641.15 × 460.47
  4. Step 4: Simplify right side
    467.64x = 295,228.04
  5. Step 5: Solve for x
    x = 295,228.04/467.64
  6. Step 6: Final answer
    x = 631.31

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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.