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Finding the Fourth Proportional to 515.85, 769.38 and 500.46

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Solution

The fourth proportional to 515.85, 769.38 and 500.46 is: 746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.85 : 769.38 = 500.46 : x
  2. Step 2: Convert to fraction form
    515.85/769.38 = 500.46/x
  3. Step 3: Cross multiply
    515.85x = 769.38 × 500.46
  4. Step 4: Simplify right side
    515.85x = 385,043.91
  5. Step 5: Solve for x
    x = 385,043.91/515.85
  6. Step 6: Final answer
    x = 746.43

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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.