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Finding the Fourth Proportional to 628.52, 943.72 and 386.06

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Solution

The fourth proportional to 628.52, 943.72 and 386.06 is: 579.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.52 : 943.72 = 386.06 : x
  2. Step 2: Convert to fraction form
    628.52/943.72 = 386.06/x
  3. Step 3: Cross multiply
    628.52x = 943.72 × 386.06
  4. Step 4: Simplify right side
    628.52x = 364,332.54
  5. Step 5: Solve for x
    x = 364,332.54/628.52
  6. Step 6: Final answer
    x = 579.67

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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.