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Finding the Fourth Proportional to 501.75, 692.50 and 363.99

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Solution

The fourth proportional to 501.75, 692.50 and 363.99 is: 502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.75 : 692.50 = 363.99 : x
  2. Step 2: Convert to fraction form
    501.75/692.50 = 363.99/x
  3. Step 3: Cross multiply
    501.75x = 692.50 × 363.99
  4. Step 4: Simplify right side
    501.75x = 252,063.08
  5. Step 5: Solve for x
    x = 252,063.08/501.75
  6. Step 6: Final answer
    x = 502.37

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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.