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Finding the Fourth Proportional to 692.02, 952.41 and 495.10

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Solution

The fourth proportional to 692.02, 952.41 and 495.10 is: 681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.02 : 952.41 = 495.10 : x
  2. Step 2: Convert to fraction form
    692.02/952.41 = 495.10/x
  3. Step 3: Cross multiply
    692.02x = 952.41 × 495.10
  4. Step 4: Simplify right side
    692.02x = 471,538.19
  5. Step 5: Solve for x
    x = 471,538.19/692.02
  6. Step 6: Final answer
    x = 681.39

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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.