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Finding the Fourth Proportional to 517.59, 714.74 and 352.22

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Solution

The fourth proportional to 517.59, 714.74 and 352.22 is: 486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.59 : 714.74 = 352.22 : x
  2. Step 2: Convert to fraction form
    517.59/714.74 = 352.22/x
  3. Step 3: Cross multiply
    517.59x = 714.74 × 352.22
  4. Step 4: Simplify right side
    517.59x = 251,740.39
  5. Step 5: Solve for x
    x = 251,740.39/517.59
  6. Step 6: Final answer
    x = 486.37

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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.