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Finding the Fourth Proportional to 628.60, 943.10 and 320.12

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Solution

The fourth proportional to 628.60, 943.10 and 320.12 is: 480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.60 : 943.10 = 320.12 : x
  2. Step 2: Convert to fraction form
    628.60/943.10 = 320.12/x
  3. Step 3: Cross multiply
    628.60x = 943.10 × 320.12
  4. Step 4: Simplify right side
    628.60x = 301,905.17
  5. Step 5: Solve for x
    x = 301,905.17/628.60
  6. Step 6: Final answer
    x = 480.28

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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.