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Finding the Fourth Proportional to 517.01, 774.54 and 334.04

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Solution

The fourth proportional to 517.01, 774.54 and 334.04 is: 500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.01 : 774.54 = 334.04 : x
  2. Step 2: Convert to fraction form
    517.01/774.54 = 334.04/x
  3. Step 3: Cross multiply
    517.01x = 774.54 × 334.04
  4. Step 4: Simplify right side
    517.01x = 258,723.47
  5. Step 5: Solve for x
    x = 258,723.47/517.01
  6. Step 6: Final answer
    x = 500.43

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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.