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Finding the Fourth Proportional to 805.93, 1,112.87 and 621.25

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Solution

The fourth proportional to 805.93, 1,112.87 and 621.25 is: 857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.93 : 1,112.87 = 621.25 : x
  2. Step 2: Convert to fraction form
    805.93/1,112.87 = 621.25/x
  3. Step 3: Cross multiply
    805.93x = 1,112.87 × 621.25
  4. Step 4: Simplify right side
    805.93x = 691,369.26
  5. Step 5: Solve for x
    x = 691,369.26/805.93
  6. Step 6: Final answer
    x = 857.86

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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.