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Finding the Fourth Proportional to 627.91, 942.20 and 354.02

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Solution

The fourth proportional to 627.91, 942.20 and 354.02 is: 531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.91 : 942.20 = 354.02 : x
  2. Step 2: Convert to fraction form
    627.91/942.20 = 354.02/x
  3. Step 3: Cross multiply
    627.91x = 942.20 × 354.02
  4. Step 4: Simplify right side
    627.91x = 333,557.64
  5. Step 5: Solve for x
    x = 333,557.64/627.91
  6. Step 6: Final answer
    x = 531.22

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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.