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Finding the Fourth Proportional to 518.59, 712.28 and 486.46

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Solution

The fourth proportional to 518.59, 712.28 and 486.46 is: 668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.59 : 712.28 = 486.46 : x
  2. Step 2: Convert to fraction form
    518.59/712.28 = 486.46/x
  3. Step 3: Cross multiply
    518.59x = 712.28 × 486.46
  4. Step 4: Simplify right side
    518.59x = 346,495.73
  5. Step 5: Solve for x
    x = 346,495.73/518.59
  6. Step 6: Final answer
    x = 668.15

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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.