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Finding the Fourth Proportional to 517.08, 713.34 and 330.50

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Solution

The fourth proportional to 517.08, 713.34 and 330.50 is: 455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.08 : 713.34 = 330.50 : x
  2. Step 2: Convert to fraction form
    517.08/713.34 = 330.50/x
  3. Step 3: Cross multiply
    517.08x = 713.34 × 330.50
  4. Step 4: Simplify right side
    517.08x = 235,757.45
  5. Step 5: Solve for x
    x = 235,757.45/517.08
  6. Step 6: Final answer
    x = 455.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.