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Finding the Fourth Proportional to 525.59, 725.34 and 315.78

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Solution

The fourth proportional to 525.59, 725.34 and 315.78 is: 435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.59 : 725.34 = 315.78 : x
  2. Step 2: Convert to fraction form
    525.59/725.34 = 315.78/x
  3. Step 3: Cross multiply
    525.59x = 725.34 × 315.78
  4. Step 4: Simplify right side
    525.59x = 229,042.66
  5. Step 5: Solve for x
    x = 229,042.66/525.59
  6. Step 6: Final answer
    x = 435.79

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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.