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Finding the Fourth Proportional to 512.50, 770.10 and 509.80

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Solution

The fourth proportional to 512.50, 770.10 and 509.80 is: 766.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.50 : 770.10 = 509.80 : x
  2. Step 2: Convert to fraction form
    512.50/770.10 = 509.80/x
  3. Step 3: Cross multiply
    512.50x = 770.10 × 509.80
  4. Step 4: Simplify right side
    512.50x = 392,596.98
  5. Step 5: Solve for x
    x = 392,596.98/512.50
  6. Step 6: Final answer
    x = 766.04

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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.