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Finding the Fourth Proportional to 501.62, 692.30 and 362.20

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Solution

The fourth proportional to 501.62, 692.30 and 362.20 is: 499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.62 : 692.30 = 362.20 : x
  2. Step 2: Convert to fraction form
    501.62/692.30 = 362.20/x
  3. Step 3: Cross multiply
    501.62x = 692.30 × 362.20
  4. Step 4: Simplify right side
    501.62x = 250,751.06
  5. Step 5: Solve for x
    x = 250,751.06/501.62
  6. Step 6: Final answer
    x = 499.88

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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.