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Finding the Fourth Proportional to 505.62, 757.50 and 289.38

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Solution

The fourth proportional to 505.62, 757.50 and 289.38 is: 433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.62 : 757.50 = 289.38 : x
  2. Step 2: Convert to fraction form
    505.62/757.50 = 289.38/x
  3. Step 3: Cross multiply
    505.62x = 757.50 × 289.38
  4. Step 4: Simplify right side
    505.62x = 219,205.35
  5. Step 5: Solve for x
    x = 219,205.35/505.62
  6. Step 6: Final answer
    x = 433.54

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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.