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Finding the Fourth Proportional to 917.26, 1,373.54 and 505.94

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Solution

The fourth proportional to 917.26, 1,373.54 and 505.94 is: 757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.26 : 1,373.54 = 505.94 : x
  2. Step 2: Convert to fraction form
    917.26/1,373.54 = 505.94/x
  3. Step 3: Cross multiply
    917.26x = 1,373.54 × 505.94
  4. Step 4: Simplify right side
    917.26x = 694,919.43
  5. Step 5: Solve for x
    x = 694,919.43/917.26
  6. Step 6: Final answer
    x = 757.61

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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.