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Finding the Fourth Proportional to 517.04, 774.82 and 400.94

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Solution

The fourth proportional to 517.04, 774.82 and 400.94 is: 600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.04 : 774.82 = 400.94 : x
  2. Step 2: Convert to fraction form
    517.04/774.82 = 400.94/x
  3. Step 3: Cross multiply
    517.04x = 774.82 × 400.94
  4. Step 4: Simplify right side
    517.04x = 310,652.46
  5. Step 5: Solve for x
    x = 310,652.46/517.04
  6. Step 6: Final answer
    x = 600.83

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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.