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Finding the Fourth Proportional to 602.82, 832.41 and 464.31

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Solution

The fourth proportional to 602.82, 832.41 and 464.31 is: 641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.82 : 832.41 = 464.31 : x
  2. Step 2: Convert to fraction form
    602.82/832.41 = 464.31/x
  3. Step 3: Cross multiply
    602.82x = 832.41 × 464.31
  4. Step 4: Simplify right side
    602.82x = 386,496.29
  5. Step 5: Solve for x
    x = 386,496.29/602.82
  6. Step 6: Final answer
    x = 641.15

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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.