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Finding the Fourth Proportional to 525.20, 786.71 and 342.68

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Solution

The fourth proportional to 525.20, 786.71 and 342.68 is: 513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.20 : 786.71 = 342.68 : x
  2. Step 2: Convert to fraction form
    525.20/786.71 = 342.68/x
  3. Step 3: Cross multiply
    525.20x = 786.71 × 342.68
  4. Step 4: Simplify right side
    525.20x = 269,586.71
  5. Step 5: Solve for x
    x = 269,586.71/525.20
  6. Step 6: Final answer
    x = 513.31

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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.