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Finding the Fourth Proportional to 628.29, 865.44 and 523.17

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Solution

The fourth proportional to 628.29, 865.44 and 523.17 is: 720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.29 : 865.44 = 523.17 : x
  2. Step 2: Convert to fraction form
    628.29/865.44 = 523.17/x
  3. Step 3: Cross multiply
    628.29x = 865.44 × 523.17
  4. Step 4: Simplify right side
    628.29x = 452,772.24
  5. Step 5: Solve for x
    x = 452,772.24/628.29
  6. Step 6: Final answer
    x = 720.64

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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.