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Finding the Fourth Proportional to 692.73, 955.95 and 456.39

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Solution

The fourth proportional to 692.73, 955.95 and 456.39 is: 629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.73 : 955.95 = 456.39 : x
  2. Step 2: Convert to fraction form
    692.73/955.95 = 456.39/x
  3. Step 3: Cross multiply
    692.73x = 955.95 × 456.39
  4. Step 4: Simplify right side
    692.73x = 436,286.02
  5. Step 5: Solve for x
    x = 436,286.02/692.73
  6. Step 6: Final answer
    x = 629.81

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1.5x scale

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.