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Finding the Fourth Proportional to 507.74, 755.84 and 504.99

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Solution

The fourth proportional to 507.74, 755.84 and 504.99 is: 751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.74 : 755.84 = 504.99 : x
  2. Step 2: Convert to fraction form
    507.74/755.84 = 504.99/x
  3. Step 3: Cross multiply
    507.74x = 755.84 × 504.99
  4. Step 4: Simplify right side
    507.74x = 381,692.90
  5. Step 5: Solve for x
    x = 381,692.90/507.74
  6. Step 6: Final answer
    x = 751.76

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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.