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Finding the Fourth Proportional to 627.64, 942.03 and 319.70

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Solution

The fourth proportional to 627.64, 942.03 and 319.70 is: 479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.64 : 942.03 = 319.70 : x
  2. Step 2: Convert to fraction form
    627.64/942.03 = 319.70/x
  3. Step 3: Cross multiply
    627.64x = 942.03 × 319.70
  4. Step 4: Simplify right side
    627.64x = 301,166.99
  5. Step 5: Solve for x
    x = 301,166.99/627.64
  6. Step 6: Final answer
    x = 479.84

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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.