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Finding the Fourth Proportional to 917.67, 1,376.24 and 506.73

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Solution

The fourth proportional to 917.67, 1,376.24 and 506.73 is: 759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.67 : 1,376.24 = 506.73 : x
  2. Step 2: Convert to fraction form
    917.67/1,376.24 = 506.73/x
  3. Step 3: Cross multiply
    917.67x = 1,376.24 × 506.73
  4. Step 4: Simplify right side
    917.67x = 697,379.56
  5. Step 5: Solve for x
    x = 697,379.56/917.67
  6. Step 6: Final answer
    x = 759.95

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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.