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Finding the Fourth Proportional to 525.42, 782.09 and 517.62

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Solution

The fourth proportional to 525.42, 782.09 and 517.62 is: 770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.42 : 782.09 = 517.62 : x
  2. Step 2: Convert to fraction form
    525.42/782.09 = 517.62/x
  3. Step 3: Cross multiply
    525.42x = 782.09 × 517.62
  4. Step 4: Simplify right side
    525.42x = 404,827.71
  5. Step 5: Solve for x
    x = 404,827.71/525.42
  6. Step 6: Final answer
    x = 770.48

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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.