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Finding the Fourth Proportional to 517.05, 712.26 and 434.09

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Solution

The fourth proportional to 517.05, 712.26 and 434.09 is: 597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.05 : 712.26 = 434.09 : x
  2. Step 2: Convert to fraction form
    517.05/712.26 = 434.09/x
  3. Step 3: Cross multiply
    517.05x = 712.26 × 434.09
  4. Step 4: Simplify right side
    517.05x = 309,186.72
  5. Step 5: Solve for x
    x = 309,186.72/517.05
  6. Step 6: Final answer
    x = 597.98

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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.