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Finding the Fourth Proportional to 602.61, 832.09 and 445.42

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Solution

The fourth proportional to 602.61, 832.09 and 445.42 is: 615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.61 : 832.09 = 445.42 : x
  2. Step 2: Convert to fraction form
    602.61/832.09 = 445.42/x
  3. Step 3: Cross multiply
    602.61x = 832.09 × 445.42
  4. Step 4: Simplify right side
    602.61x = 370,629.53
  5. Step 5: Solve for x
    x = 370,629.53/602.61
  6. Step 6: Final answer
    x = 615.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.