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Finding the Fourth Proportional to 514.80, 765.78 and 500.76

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Solution

The fourth proportional to 514.80, 765.78 and 500.76 is: 744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.80 : 765.78 = 500.76 : x
  2. Step 2: Convert to fraction form
    514.80/765.78 = 500.76/x
  3. Step 3: Cross multiply
    514.80x = 765.78 × 500.76
  4. Step 4: Simplify right side
    514.80x = 383,471.99
  5. Step 5: Solve for x
    x = 383,471.99/514.80
  6. Step 6: Final answer
    x = 744.90

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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.