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Finding the Fourth Proportional to 518.34, 712.86 and 412.18

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Solution

The fourth proportional to 518.34, 712.86 and 412.18 is: 566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.34 : 712.86 = 412.18 : x
  2. Step 2: Convert to fraction form
    518.34/712.86 = 412.18/x
  3. Step 3: Cross multiply
    518.34x = 712.86 × 412.18
  4. Step 4: Simplify right side
    518.34x = 293,823.98
  5. Step 5: Solve for x
    x = 293,823.98/518.34
  6. Step 6: Final answer
    x = 566.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.