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Finding the Fourth Proportional to 505.74, 758.84 and 310.96

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Solution

The fourth proportional to 505.74, 758.84 and 310.96 is: 466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.74 : 758.84 = 310.96 : x
  2. Step 2: Convert to fraction form
    505.74/758.84 = 310.96/x
  3. Step 3: Cross multiply
    505.74x = 758.84 × 310.96
  4. Step 4: Simplify right side
    505.74x = 235,973.04
  5. Step 5: Solve for x
    x = 235,973.04/505.74
  6. Step 6: Final answer
    x = 466.59

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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.