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Finding the Fourth Proportional to 505.04, 757.42 and 175.97

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Solution

The fourth proportional to 505.04, 757.42 and 175.97 is: 263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.04 : 757.42 = 175.97 : x
  2. Step 2: Convert to fraction form
    505.04/757.42 = 175.97/x
  3. Step 3: Cross multiply
    505.04x = 757.42 × 175.97
  4. Step 4: Simplify right side
    505.04x = 133,284.65
  5. Step 5: Solve for x
    x = 133,284.65/505.04
  6. Step 6: Final answer
    x = 263.91

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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.