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Finding the Fourth Proportional to 917.87, 1,268.26 and 722.86

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Solution

The fourth proportional to 917.87, 1,268.26 and 722.86 is: 998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.87 : 1,268.26 = 722.86 : x
  2. Step 2: Convert to fraction form
    917.87/1,268.26 = 722.86/x
  3. Step 3: Cross multiply
    917.87x = 1,268.26 × 722.86
  4. Step 4: Simplify right side
    917.87x = 916,769.45
  5. Step 5: Solve for x
    x = 916,769.45/917.87
  6. Step 6: Final answer
    x = 998.81

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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.