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Finding the Fourth Proportional to 517.50, 775.34 and 431.39

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Solution

The fourth proportional to 517.50, 775.34 and 431.39 is: 646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.50 : 775.34 = 431.39 : x
  2. Step 2: Convert to fraction form
    517.50/775.34 = 431.39/x
  3. Step 3: Cross multiply
    517.50x = 775.34 × 431.39
  4. Step 4: Simplify right side
    517.50x = 334,470.05
  5. Step 5: Solve for x
    x = 334,470.05/517.50
  6. Step 6: Final answer
    x = 646.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.