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Finding the Fourth Proportional to 692.38, 1,042.63 and 511.03

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Solution

The fourth proportional to 692.38, 1,042.63 and 511.03 is: 769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.38 : 1,042.63 = 511.03 : x
  2. Step 2: Convert to fraction form
    692.38/1,042.63 = 511.03/x
  3. Step 3: Cross multiply
    692.38x = 1,042.63 × 511.03
  4. Step 4: Simplify right side
    692.38x = 532,815.21
  5. Step 5: Solve for x
    x = 532,815.21/692.38
  6. Step 6: Final answer
    x = 769.54

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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.