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Finding the Fourth Proportional to 517.64, 775.43 and 343.79

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Solution

The fourth proportional to 517.64, 775.43 and 343.79 is: 515.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 775.43 = 343.79 : x
  2. Step 2: Convert to fraction form
    517.64/775.43 = 343.79/x
  3. Step 3: Cross multiply
    517.64x = 775.43 × 343.79
  4. Step 4: Simplify right side
    517.64x = 266,579.48
  5. Step 5: Solve for x
    x = 266,579.48/517.64
  6. Step 6: Final answer
    x = 515.00

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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.