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Finding the Fourth Proportional to 539, 812.17 and 480.06

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Solution

The fourth proportional to 539, 812.17 and 480.06 is: 723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    539 : 812.17 = 480.06 : x
  2. Step 2: Convert to fraction form
    539/812.17 = 480.06/x
  3. Step 3: Cross multiply
    539x = 812.17 × 480.06
  4. Step 4: Simplify right side
    539x = 389,890.33
  5. Step 5: Solve for x
    x = 389,890.33/539
  6. Step 6: Final answer
    x = 723.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.