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Finding the Fourth Proportional to 498.63, 688.52 and 446.09

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Solution

The fourth proportional to 498.63, 688.52 and 446.09 is: 615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.63 : 688.52 = 446.09 : x
  2. Step 2: Convert to fraction form
    498.63/688.52 = 446.09/x
  3. Step 3: Cross multiply
    498.63x = 688.52 × 446.09
  4. Step 4: Simplify right side
    498.63x = 307,136.21
  5. Step 5: Solve for x
    x = 307,136.21/498.63
  6. Step 6: Final answer
    x = 615.96

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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.