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Finding the Fourth Proportional to 525.87, 725.56 and 505.11

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Solution

The fourth proportional to 525.87, 725.56 and 505.11 is: 696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.87 : 725.56 = 505.11 : x
  2. Step 2: Convert to fraction form
    525.87/725.56 = 505.11/x
  3. Step 3: Cross multiply
    525.87x = 725.56 × 505.11
  4. Step 4: Simplify right side
    525.87x = 366,487.61
  5. Step 5: Solve for x
    x = 366,487.61/525.87
  6. Step 6: Final answer
    x = 696.92

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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.