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Finding the Fourth Proportional to 628.60, 943.04 and 189.87

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Solution

The fourth proportional to 628.60, 943.04 and 189.87 is: 284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.60 : 943.04 = 189.87 : x
  2. Step 2: Convert to fraction form
    628.60/943.04 = 189.87/x
  3. Step 3: Cross multiply
    628.60x = 943.04 × 189.87
  4. Step 4: Simplify right side
    628.60x = 179,055.00
  5. Step 5: Solve for x
    x = 179,055.00/628.60
  6. Step 6: Final answer
    x = 284.85

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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.