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Finding the Fourth Proportional to 692.85, 955.50 and 516.25

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Solution

The fourth proportional to 692.85, 955.50 and 516.25 is: 711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.85 : 955.50 = 516.25 : x
  2. Step 2: Convert to fraction form
    692.85/955.50 = 516.25/x
  3. Step 3: Cross multiply
    692.85x = 955.50 × 516.25
  4. Step 4: Simplify right side
    692.85x = 493,272.55
  5. Step 5: Solve for x
    x = 493,272.55/692.85
  6. Step 6: Final answer
    x = 711.95

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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.