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Finding the Fourth Proportional to 917.75, 1,267.52 and 622.50

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Solution

The fourth proportional to 917.75, 1,267.52 and 622.50 is: 859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.75 : 1,267.52 = 622.50 : x
  2. Step 2: Convert to fraction form
    917.75/1,267.52 = 622.50/x
  3. Step 3: Cross multiply
    917.75x = 1,267.52 × 622.50
  4. Step 4: Simplify right side
    917.75x = 789,028.09
  5. Step 5: Solve for x
    x = 789,028.09/917.75
  6. Step 6: Final answer
    x = 859.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.