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Finding the Fourth Proportional to 505.77, 757.37 and 296.65

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Solution

The fourth proportional to 505.77, 757.37 and 296.65 is: 444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.77 : 757.37 = 296.65 : x
  2. Step 2: Convert to fraction form
    505.77/757.37 = 296.65/x
  3. Step 3: Cross multiply
    505.77x = 757.37 × 296.65
  4. Step 4: Simplify right side
    505.77x = 224,672.33
  5. Step 5: Solve for x
    x = 224,672.33/505.77
  6. Step 6: Final answer
    x = 444.22

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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.