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Finding the Fourth Proportional to 789.89, 1,090.87 and 495.32

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Solution

The fourth proportional to 789.89, 1,090.87 and 495.32 is: 684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.89 : 1,090.87 = 495.32 : x
  2. Step 2: Convert to fraction form
    789.89/1,090.87 = 495.32/x
  3. Step 3: Cross multiply
    789.89x = 1,090.87 × 495.32
  4. Step 4: Simplify right side
    789.89x = 540,323.04
  5. Step 5: Solve for x
    x = 540,323.04/789.89
  6. Step 6: Final answer
    x = 684.05

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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.