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Finding the Fourth Proportional to 505.83, 757.29 and 296.96

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Solution

The fourth proportional to 505.83, 757.29 and 296.96 is: 444.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.83 : 757.29 = 296.96 : x
  2. Step 2: Convert to fraction form
    505.83/757.29 = 296.96/x
  3. Step 3: Cross multiply
    505.83x = 757.29 × 296.96
  4. Step 4: Simplify right side
    505.83x = 224,884.84
  5. Step 5: Solve for x
    x = 224,884.84/505.83
  6. Step 6: Final answer
    x = 444.59

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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.