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Finding the Fourth Proportional to 692.67, 955.45 and 456.64

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Solution

The fourth proportional to 692.67, 955.45 and 456.64 is: 629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.67 : 955.45 = 456.64 : x
  2. Step 2: Convert to fraction form
    692.67/955.45 = 456.64/x
  3. Step 3: Cross multiply
    692.67x = 955.45 × 456.64
  4. Step 4: Simplify right side
    692.67x = 436,293.05
  5. Step 5: Solve for x
    x = 436,293.05/692.67
  6. Step 6: Final answer
    x = 629.88

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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.