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Finding the Fourth Proportional to 501.39, 692.15 and 326.84

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Solution

The fourth proportional to 501.39, 692.15 and 326.84 is: 451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.39 : 692.15 = 326.84 : x
  2. Step 2: Convert to fraction form
    501.39/692.15 = 326.84/x
  3. Step 3: Cross multiply
    501.39x = 692.15 × 326.84
  4. Step 4: Simplify right side
    501.39x = 226,217.21
  5. Step 5: Solve for x
    x = 226,217.21/501.39
  6. Step 6: Final answer
    x = 451.18

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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.