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Finding the Fourth Proportional to 525.90, 782.84 and 518.12

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Solution

The fourth proportional to 525.90, 782.84 and 518.12 is: 771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.90 : 782.84 = 518.12 : x
  2. Step 2: Convert to fraction form
    525.90/782.84 = 518.12/x
  3. Step 3: Cross multiply
    525.90x = 782.84 × 518.12
  4. Step 4: Simplify right side
    525.90x = 405,605.06
  5. Step 5: Solve for x
    x = 405,605.06/525.90
  6. Step 6: Final answer
    x = 771.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.