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Finding the Fourth Proportional to 602.45, 828.19 and 518.12

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Solution

The fourth proportional to 602.45, 828.19 and 518.12 is: 712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.45 : 828.19 = 518.12 : x
  2. Step 2: Convert to fraction form
    602.45/828.19 = 518.12/x
  3. Step 3: Cross multiply
    602.45x = 828.19 × 518.12
  4. Step 4: Simplify right side
    602.45x = 429,097.40
  5. Step 5: Solve for x
    x = 429,097.40/602.45
  6. Step 6: Final answer
    x = 712.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.