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Finding the Fourth Proportional to 517.39, 714 and 320.86

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Solution

The fourth proportional to 517.39, 714 and 320.86 is: 442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.39 : 714 = 320.86 : x
  2. Step 2: Convert to fraction form
    517.39/714 = 320.86/x
  3. Step 3: Cross multiply
    517.39x = 714 × 320.86
  4. Step 4: Simplify right side
    517.39x = 229,094.04
  5. Step 5: Solve for x
    x = 229,094.04/517.39
  6. Step 6: Final answer
    x = 442.79

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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.