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Finding the Fourth Proportional to 505.60, 757.44 and 333.76

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Solution

The fourth proportional to 505.60, 757.44 and 333.76 is: 500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.60 : 757.44 = 333.76 : x
  2. Step 2: Convert to fraction form
    505.60/757.44 = 333.76/x
  3. Step 3: Cross multiply
    505.60x = 757.44 × 333.76
  4. Step 4: Simplify right side
    505.60x = 252,803.17
  5. Step 5: Solve for x
    x = 252,803.17/505.60
  6. Step 6: Final answer
    x = 500.01

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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.