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Finding the Fourth Proportional to 505.66, 757.17 and 389.83

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Solution

The fourth proportional to 505.66, 757.17 and 389.83 is: 583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.66 : 757.17 = 389.83 : x
  2. Step 2: Convert to fraction form
    505.66/757.17 = 389.83/x
  3. Step 3: Cross multiply
    505.66x = 757.17 × 389.83
  4. Step 4: Simplify right side
    505.66x = 295,167.58
  5. Step 5: Solve for x
    x = 295,167.58/505.66
  6. Step 6: Final answer
    x = 583.73

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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.