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Finding the Fourth Proportional to 863.36, 1,296.70 and 740.24

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Solution

The fourth proportional to 863.36, 1,296.70 and 740.24 is: 1,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.36 : 1,296.70 = 740.24 : x
  2. Step 2: Convert to fraction form
    863.36/1,296.70 = 740.24/x
  3. Step 3: Cross multiply
    863.36x = 1,296.70 × 740.24
  4. Step 4: Simplify right side
    863.36x = 959,869.21
  5. Step 5: Solve for x
    x = 959,869.21/863.36
  6. Step 6: Final answer
    x = 1,111.78

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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.