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Finding the Fourth Proportional to 462.45, 692.76 and 279.30

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Solution

The fourth proportional to 462.45, 692.76 and 279.30 is: 418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.45 : 692.76 = 279.30 : x
  2. Step 2: Convert to fraction form
    462.45/692.76 = 279.30/x
  3. Step 3: Cross multiply
    462.45x = 692.76 × 279.30
  4. Step 4: Simplify right side
    462.45x = 193,487.87
  5. Step 5: Solve for x
    x = 193,487.87/462.45
  6. Step 6: Final answer
    x = 418.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.