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Finding the Fourth Proportional to 863.29, 1,288.63 and 742.33

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Solution

The fourth proportional to 863.29, 1,288.63 and 742.33 is: 1,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.29 : 1,288.63 = 742.33 : x
  2. Step 2: Convert to fraction form
    863.29/1,288.63 = 742.33/x
  3. Step 3: Cross multiply
    863.29x = 1,288.63 × 742.33
  4. Step 4: Simplify right side
    863.29x = 956,588.71
  5. Step 5: Solve for x
    x = 956,588.71/863.29
  6. Step 6: Final answer
    x = 1,108.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.