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Finding the Fourth Proportional to 1,174.75, 1,762.52 and 823.72

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Solution

The fourth proportional to 1,174.75, 1,762.52 and 823.72 is: 1,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.75 : 1,762.52 = 823.72 : x
  2. Step 2: Convert to fraction form
    1,174.75/1,762.52 = 823.72/x
  3. Step 3: Cross multiply
    1,174.75x = 1,762.52 × 823.72
  4. Step 4: Simplify right side
    1,174.75x = 1,451,822.97
  5. Step 5: Solve for x
    x = 1,451,822.97/1,174.75
  6. Step 6: Final answer
    x = 1,235.86

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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.