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Finding the Fourth Proportional to 525.80, 725.06 and 513.88

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Solution

The fourth proportional to 525.80, 725.06 and 513.88 is: 708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.80 : 725.06 = 513.88 : x
  2. Step 2: Convert to fraction form
    525.80/725.06 = 513.88/x
  3. Step 3: Cross multiply
    525.80x = 725.06 × 513.88
  4. Step 4: Simplify right side
    525.80x = 372,593.83
  5. Step 5: Solve for x
    x = 372,593.83/525.80
  6. Step 6: Final answer
    x = 708.62

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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.