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Finding the Fourth Proportional to 525.69, 725.31 and 315.90

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Solution

The fourth proportional to 525.69, 725.31 and 315.90 is: 435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.69 : 725.31 = 315.90 : x
  2. Step 2: Convert to fraction form
    525.69/725.31 = 315.90/x
  3. Step 3: Cross multiply
    525.69x = 725.31 × 315.90
  4. Step 4: Simplify right side
    525.69x = 229,125.43
  5. Step 5: Solve for x
    x = 229,125.43/525.69
  6. Step 6: Final answer
    x = 435.86

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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.