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Finding the Fourth Proportional to 863.56, 1,293.72 and 670.24

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Solution

The fourth proportional to 863.56, 1,293.72 and 670.24 is: 1,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.56 : 1,293.72 = 670.24 : x
  2. Step 2: Convert to fraction form
    863.56/1,293.72 = 670.24/x
  3. Step 3: Cross multiply
    863.56x = 1,293.72 × 670.24
  4. Step 4: Simplify right side
    863.56x = 867,102.89
  5. Step 5: Solve for x
    x = 867,102.89/863.56
  6. Step 6: Final answer
    x = 1,004.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.