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Finding the Fourth Proportional to 553.10, 834.24 and 517.10

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Solution

The fourth proportional to 553.10, 834.24 and 517.10 is: 779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.10 : 834.24 = 517.10 : x
  2. Step 2: Convert to fraction form
    553.10/834.24 = 517.10/x
  3. Step 3: Cross multiply
    553.10x = 834.24 × 517.10
  4. Step 4: Simplify right side
    553.10x = 431,385.50
  5. Step 5: Solve for x
    x = 431,385.50/553.10
  6. Step 6: Final answer
    x = 779.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.