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Finding the Fourth Proportional to 628.20, 865.69 and 528.37

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Solution

The fourth proportional to 628.20, 865.69 and 528.37 is: 728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.20 : 865.69 = 528.37 : x
  2. Step 2: Convert to fraction form
    628.20/865.69 = 528.37/x
  3. Step 3: Cross multiply
    628.20x = 865.69 × 528.37
  4. Step 4: Simplify right side
    628.20x = 457,401.14
  5. Step 5: Solve for x
    x = 457,401.14/628.20
  6. Step 6: Final answer
    x = 728.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.