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Finding the Fourth Proportional to 525.45, 725.46 and 357.62

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Solution

The fourth proportional to 525.45, 725.46 and 357.62 is: 493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.45 : 725.46 = 357.62 : x
  2. Step 2: Convert to fraction form
    525.45/725.46 = 357.62/x
  3. Step 3: Cross multiply
    525.45x = 725.46 × 357.62
  4. Step 4: Simplify right side
    525.45x = 259,434.04
  5. Step 5: Solve for x
    x = 259,434.04/525.45
  6. Step 6: Final answer
    x = 493.73

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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.