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Finding the Fourth Proportional to 917.21, 1,265.46 and 800.37

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Solution

The fourth proportional to 917.21, 1,265.46 and 800.37 is: 1,104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.21 : 1,265.46 = 800.37 : x
  2. Step 2: Convert to fraction form
    917.21/1,265.46 = 800.37/x
  3. Step 3: Cross multiply
    917.21x = 1,265.46 × 800.37
  4. Step 4: Simplify right side
    917.21x = 1,012,836.22
  5. Step 5: Solve for x
    x = 1,012,836.22/917.21
  6. Step 6: Final answer
    x = 1,104.26

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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.