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Finding the Fourth Proportional to 517.02, 774.83 and 285.57

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Solution

The fourth proportional to 517.02, 774.83 and 285.57 is: 427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.02 : 774.83 = 285.57 : x
  2. Step 2: Convert to fraction form
    517.02/774.83 = 285.57/x
  3. Step 3: Cross multiply
    517.02x = 774.83 × 285.57
  4. Step 4: Simplify right side
    517.02x = 221,262.90
  5. Step 5: Solve for x
    x = 221,262.90/517.02
  6. Step 6: Final answer
    x = 427.96

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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.