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Finding the Fourth Proportional to 514.92, 768.03 and 505.20

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Solution

The fourth proportional to 514.92, 768.03 and 505.20 is: 753.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.92 : 768.03 = 505.20 : x
  2. Step 2: Convert to fraction form
    514.92/768.03 = 505.20/x
  3. Step 3: Cross multiply
    514.92x = 768.03 × 505.20
  4. Step 4: Simplify right side
    514.92x = 388,008.76
  5. Step 5: Solve for x
    x = 388,008.76/514.92
  6. Step 6: Final answer
    x = 753.53

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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.