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Finding the Fourth Proportional to 805.94, 1,112.61 and 495.62

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Solution

The fourth proportional to 805.94, 1,112.61 and 495.62 is: 684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.94 : 1,112.61 = 495.62 : x
  2. Step 2: Convert to fraction form
    805.94/1,112.61 = 495.62/x
  3. Step 3: Cross multiply
    805.94x = 1,112.61 × 495.62
  4. Step 4: Simplify right side
    805.94x = 551,431.77
  5. Step 5: Solve for x
    x = 551,431.77/805.94
  6. Step 6: Final answer
    x = 684.21

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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.