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Finding the Fourth Proportional to 525.57, 786.52 and 327.84

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Solution

The fourth proportional to 525.57, 786.52 and 327.84 is: 490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.57 : 786.52 = 327.84 : x
  2. Step 2: Convert to fraction form
    525.57/786.52 = 327.84/x
  3. Step 3: Cross multiply
    525.57x = 786.52 × 327.84
  4. Step 4: Simplify right side
    525.57x = 257,852.72
  5. Step 5: Solve for x
    x = 257,852.72/525.57
  6. Step 6: Final answer
    x = 490.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.