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Finding the Fourth Proportional to 862.31, 1,188.29 and 613.20

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Solution

The fourth proportional to 862.31, 1,188.29 and 613.20 is: 845.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.31 : 1,188.29 = 613.20 : x
  2. Step 2: Convert to fraction form
    862.31/1,188.29 = 613.20/x
  3. Step 3: Cross multiply
    862.31x = 1,188.29 × 613.20
  4. Step 4: Simplify right side
    862.31x = 728,656.36
  5. Step 5: Solve for x
    x = 728,656.36/862.31
  6. Step 6: Final answer
    x = 845.00

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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.