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Finding the Fourth Proportional to 789.85, 1,090.16 and 495.82

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Solution

The fourth proportional to 789.85, 1,090.16 and 495.82 is: 684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.85 : 1,090.16 = 495.82 : x
  2. Step 2: Convert to fraction form
    789.85/1,090.16 = 495.82/x
  3. Step 3: Cross multiply
    789.85x = 1,090.16 × 495.82
  4. Step 4: Simplify right side
    789.85x = 540,523.87
  5. Step 5: Solve for x
    x = 540,523.87/789.85
  6. Step 6: Final answer
    x = 684.34

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Double scale
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1.5x scale

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.