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Finding the Fourth Proportional to 627.80, 940.92 and 354.08

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Solution

The fourth proportional to 627.80, 940.92 and 354.08 is: 530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.80 : 940.92 = 354.08 : x
  2. Step 2: Convert to fraction form
    627.80/940.92 = 354.08/x
  3. Step 3: Cross multiply
    627.80x = 940.92 × 354.08
  4. Step 4: Simplify right side
    627.80x = 333,160.95
  5. Step 5: Solve for x
    x = 333,160.95/627.80
  6. Step 6: Final answer
    x = 530.68

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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.