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Finding the Fourth Proportional to 692.02, 954.12 and 505.36

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Solution

The fourth proportional to 692.02, 954.12 and 505.36 is: 696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.02 : 954.12 = 505.36 : x
  2. Step 2: Convert to fraction form
    692.02/954.12 = 505.36/x
  3. Step 3: Cross multiply
    692.02x = 954.12 × 505.36
  4. Step 4: Simplify right side
    692.02x = 482,174.08
  5. Step 5: Solve for x
    x = 482,174.08/692.02
  6. Step 6: Final answer
    x = 696.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.