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Finding the Fourth Proportional to 525.39, 730.05 and 519.69

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Solution

The fourth proportional to 525.39, 730.05 and 519.69 is: 722.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.39 : 730.05 = 519.69 : x
  2. Step 2: Convert to fraction form
    525.39/730.05 = 519.69/x
  3. Step 3: Cross multiply
    525.39x = 730.05 × 519.69
  4. Step 4: Simplify right side
    525.39x = 379,399.68
  5. Step 5: Solve for x
    x = 379,399.68/525.39
  6. Step 6: Final answer
    x = 722.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.