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Finding the Fourth Proportional to 501.41, 692.06 and 326.45

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Solution

The fourth proportional to 501.41, 692.06 and 326.45 is: 450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.41 : 692.06 = 326.45 : x
  2. Step 2: Convert to fraction form
    501.41/692.06 = 326.45/x
  3. Step 3: Cross multiply
    501.41x = 692.06 × 326.45
  4. Step 4: Simplify right side
    501.41x = 225,922.99
  5. Step 5: Solve for x
    x = 225,922.99/501.41
  6. Step 6: Final answer
    x = 450.58

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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.