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Finding the Fourth Proportional to 692.23, 955.26 and 455.89

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Solution

The fourth proportional to 692.23, 955.26 and 455.89 is: 629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.23 : 955.26 = 455.89 : x
  2. Step 2: Convert to fraction form
    692.23/955.26 = 455.89/x
  3. Step 3: Cross multiply
    692.23x = 955.26 × 455.89
  4. Step 4: Simplify right side
    692.23x = 435,493.48
  5. Step 5: Solve for x
    x = 435,493.48/692.23
  6. Step 6: Final answer
    x = 629.12

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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.