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Finding the Fourth Proportional to 917.87, 1,375.57 and 423.20

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Solution

The fourth proportional to 917.87, 1,375.57 and 423.20 is: 634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.87 : 1,375.57 = 423.20 : x
  2. Step 2: Convert to fraction form
    917.87/1,375.57 = 423.20/x
  3. Step 3: Cross multiply
    917.87x = 1,375.57 × 423.20
  4. Step 4: Simplify right side
    917.87x = 582,133.29
  5. Step 5: Solve for x
    x = 582,133.29/917.87
  6. Step 6: Final answer
    x = 634.22

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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.