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Finding the Fourth Proportional to 692.28, 959.90 and 669.15

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Solution

The fourth proportional to 692.28, 959.90 and 669.15 is: 927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.28 : 959.90 = 669.15 : x
  2. Step 2: Convert to fraction form
    692.28/959.90 = 669.15/x
  3. Step 3: Cross multiply
    692.28x = 959.90 × 669.15
  4. Step 4: Simplify right side
    692.28x = 642,313.74
  5. Step 5: Solve for x
    x = 642,313.74/692.28
  6. Step 6: Final answer
    x = 927.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.