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Finding the Fourth Proportional to 505.89, 757.62 and 496.98

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Solution

The fourth proportional to 505.89, 757.62 and 496.98 is: 744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.89 : 757.62 = 496.98 : x
  2. Step 2: Convert to fraction form
    505.89/757.62 = 496.98/x
  3. Step 3: Cross multiply
    505.89x = 757.62 × 496.98
  4. Step 4: Simplify right side
    505.89x = 376,521.99
  5. Step 5: Solve for x
    x = 376,521.99/505.89
  6. Step 6: Final answer
    x = 744.28

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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.