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Finding the Fourth Proportional to 692.78, 955.41 and 459.50

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Solution

The fourth proportional to 692.78, 955.41 and 459.50 is: 633.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.78 : 955.41 = 459.50 : x
  2. Step 2: Convert to fraction form
    692.78/955.41 = 459.50/x
  3. Step 3: Cross multiply
    692.78x = 955.41 × 459.50
  4. Step 4: Simplify right side
    692.78x = 439,010.90
  5. Step 5: Solve for x
    x = 439,010.90/692.78
  6. Step 6: Final answer
    x = 633.69

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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.