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Finding the Fourth Proportional to 917.97, 1,375.67 and 455.31

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Solution

The fourth proportional to 917.97, 1,375.67 and 455.31 is: 682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.97 : 1,375.67 = 455.31 : x
  2. Step 2: Convert to fraction form
    917.97/1,375.67 = 455.31/x
  3. Step 3: Cross multiply
    917.97x = 1,375.67 × 455.31
  4. Step 4: Simplify right side
    917.97x = 626,354.03
  5. Step 5: Solve for x
    x = 626,354.03/917.97
  6. Step 6: Final answer
    x = 682.33

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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.