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Finding the Fourth Proportional to 602.82, 899.97 and 516.18

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Solution

The fourth proportional to 602.82, 899.97 and 516.18 is: 770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.82 : 899.97 = 516.18 : x
  2. Step 2: Convert to fraction form
    602.82/899.97 = 516.18/x
  3. Step 3: Cross multiply
    602.82x = 899.97 × 516.18
  4. Step 4: Simplify right side
    602.82x = 464,546.51
  5. Step 5: Solve for x
    x = 464,546.51/602.82
  6. Step 6: Final answer
    x = 770.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.