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Finding the Fourth Proportional to 602.91, 832.29 and 382.16

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Solution

The fourth proportional to 602.91, 832.29 and 382.16 is: 527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.91 : 832.29 = 382.16 : x
  2. Step 2: Convert to fraction form
    602.91/832.29 = 382.16/x
  3. Step 3: Cross multiply
    602.91x = 832.29 × 382.16
  4. Step 4: Simplify right side
    602.91x = 318,067.95
  5. Step 5: Solve for x
    x = 318,067.95/602.91
  6. Step 6: Final answer
    x = 527.55

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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.