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Finding the Fourth Proportional to 462.24, 692.64 and 408.78

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Solution

The fourth proportional to 462.24, 692.64 and 408.78 is: 612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.24 : 692.64 = 408.78 : x
  2. Step 2: Convert to fraction form
    462.24/692.64 = 408.78/x
  3. Step 3: Cross multiply
    462.24x = 692.64 × 408.78
  4. Step 4: Simplify right side
    462.24x = 283,137.38
  5. Step 5: Solve for x
    x = 283,137.38/462.24
  6. Step 6: Final answer
    x = 612.53

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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.