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Finding the Fourth Proportional to 525.80, 725.37 and 359.95

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Solution

The fourth proportional to 525.80, 725.37 and 359.95 is: 496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.80 : 725.37 = 359.95 : x
  2. Step 2: Convert to fraction form
    525.80/725.37 = 359.95/x
  3. Step 3: Cross multiply
    525.80x = 725.37 × 359.95
  4. Step 4: Simplify right side
    525.80x = 261,097.15
  5. Step 5: Solve for x
    x = 261,097.15/525.80
  6. Step 6: Final answer
    x = 496.57

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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.