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Finding the Fourth Proportional to 517.29, 776.19 and 274.01

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Solution

The fourth proportional to 517.29, 776.19 and 274.01 is: 411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.29 : 776.19 = 274.01 : x
  2. Step 2: Convert to fraction form
    517.29/776.19 = 274.01/x
  3. Step 3: Cross multiply
    517.29x = 776.19 × 274.01
  4. Step 4: Simplify right side
    517.29x = 212,679.94
  5. Step 5: Solve for x
    x = 212,679.94/517.29
  6. Step 6: Final answer
    x = 411.14

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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.