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Finding the Fourth Proportional to 505.82, 758.82 and 385.58

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Solution

The fourth proportional to 505.82, 758.82 and 385.58 is: 578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.82 : 758.82 = 385.58 : x
  2. Step 2: Convert to fraction form
    505.82/758.82 = 385.58/x
  3. Step 3: Cross multiply
    505.82x = 758.82 × 385.58
  4. Step 4: Simplify right side
    505.82x = 292,585.82
  5. Step 5: Solve for x
    x = 292,585.82/505.82
  6. Step 6: Final answer
    x = 578.44

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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.