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Finding the Fourth Proportional to 524.20, 782.69 and 514.60

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Solution

The fourth proportional to 524.20, 782.69 and 514.60 is: 768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.20 : 782.69 = 514.60 : x
  2. Step 2: Convert to fraction form
    524.20/782.69 = 514.60/x
  3. Step 3: Cross multiply
    524.20x = 782.69 × 514.60
  4. Step 4: Simplify right side
    524.20x = 402,772.27
  5. Step 5: Solve for x
    x = 402,772.27/524.20
  6. Step 6: Final answer
    x = 768.36

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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.