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Finding the Fourth Proportional to 517.42, 713.55 and 412.85

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Solution

The fourth proportional to 517.42, 713.55 and 412.85 is: 569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.42 : 713.55 = 412.85 : x
  2. Step 2: Convert to fraction form
    517.42/713.55 = 412.85/x
  3. Step 3: Cross multiply
    517.42x = 713.55 × 412.85
  4. Step 4: Simplify right side
    517.42x = 294,589.12
  5. Step 5: Solve for x
    x = 294,589.12/517.42
  6. Step 6: Final answer
    x = 569.34

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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.