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Finding the Fourth Proportional to 627.45, 940.36 and 462.15

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Solution

The fourth proportional to 627.45, 940.36 and 462.15 is: 692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.45 : 940.36 = 462.15 : x
  2. Step 2: Convert to fraction form
    627.45/940.36 = 462.15/x
  3. Step 3: Cross multiply
    627.45x = 940.36 × 462.15
  4. Step 4: Simplify right side
    627.45x = 434,587.37
  5. Step 5: Solve for x
    x = 434,587.37/627.45
  6. Step 6: Final answer
    x = 692.62

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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.