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Finding the Fourth Proportional to 858.64, 1,184.30 and 796.26

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Solution

The fourth proportional to 858.64, 1,184.30 and 796.26 is: 1,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.64 : 1,184.30 = 796.26 : x
  2. Step 2: Convert to fraction form
    858.64/1,184.30 = 796.26/x
  3. Step 3: Cross multiply
    858.64x = 1,184.30 × 796.26
  4. Step 4: Simplify right side
    858.64x = 943,010.72
  5. Step 5: Solve for x
    x = 943,010.72/858.64
  6. Step 6: Final answer
    x = 1,098.26

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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.