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Finding the Fourth Proportional to 602.92, 902.82 and 511.42

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Solution

The fourth proportional to 602.92, 902.82 and 511.42 is: 765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.92 : 902.82 = 511.42 : x
  2. Step 2: Convert to fraction form
    602.92/902.82 = 511.42/x
  3. Step 3: Cross multiply
    602.92x = 902.82 × 511.42
  4. Step 4: Simplify right side
    602.92x = 461,720.20
  5. Step 5: Solve for x
    x = 461,720.20/602.92
  6. Step 6: Final answer
    x = 765.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.