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Finding the Fourth Proportional to 525.58, 725.81 and 476.37

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Solution

The fourth proportional to 525.58, 725.81 and 476.37 is: 657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.58 : 725.81 = 476.37 : x
  2. Step 2: Convert to fraction form
    525.58/725.81 = 476.37/x
  3. Step 3: Cross multiply
    525.58x = 725.81 × 476.37
  4. Step 4: Simplify right side
    525.58x = 345,751.73
  5. Step 5: Solve for x
    x = 345,751.73/525.58
  6. Step 6: Final answer
    x = 657.85

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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.