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Finding the Fourth Proportional to 518.17, 714.91 and 321.80

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Solution

The fourth proportional to 518.17, 714.91 and 321.80 is: 443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.17 : 714.91 = 321.80 : x
  2. Step 2: Convert to fraction form
    518.17/714.91 = 321.80/x
  3. Step 3: Cross multiply
    518.17x = 714.91 × 321.80
  4. Step 4: Simplify right side
    518.17x = 230,056.27
  5. Step 5: Solve for x
    x = 230,056.27/518.17
  6. Step 6: Final answer
    x = 443.98

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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.